# Complex Conjugate Zeros

### Topic Page

Complex Conjugate Zeros### Questions

- What is a complex conjugate?
- How do I find a complex conjugate?
- What is the conjugate zeros theorem?
- How do I use the conjugate zeros theorem?
- What is the conjugate pair theorem?
- How do I find the complex conjugate of #10+6i#?
- How do I find the complex conjugate of #14+12i#?
- What is the complex conjugate for the number #7-3i#?
- What is the complex conjugate of #3i+4#?
- What is the complex conjugate of #a-bi#?
- How do you find a polynomial with complex coefficients of the smallest possible degree for which i and 1+i are zeros and in which the coefficient of the highest power is 1?
- How many complex zeros does the function #f(x) = x^12 + x^9 + x^7 - 2x^2# have?
- How do you determine the remaining zeroes for #g(x)=2x^5-3x^4-5x^3-15x^2-207x+108# if 3i is a zero?
- How do you simplify #(3 + isqrt2)(3 - isqrt2)#?
- What is #6/(5+i)# written in standard form?
- How do you rationalize #6/(3-3i)#?
- How do you rationalize #4/(2-3i)#?
- How do you use Descartes rule of signs to analyze all possibilities for the complex zeroes of: #y= x^6 - 3x^5 - 5x^4 + 11x^3 - 48x^2 + 92x - 48#?
- What is an example of a quadratic equation with imaginary roots?
- What is conjugate of -a-b?
- What is conjugate of #8 + 4i#?
- What is conjugate of #11 + 17i#?
- What is conjugate of #5i#?
- What is conjugate of #i#?
- What is conjugate of #3i#?
- What is the conjugate of #2-3i#?
- What is the conjugate of #10-5i#?
- What is the complex conjugate of -5 + 7i?
- What is the complex conjugate of -9i+7?
- What is the complex conjugate of 2i?
- What is the complex conjugate of 9 − 5i?
- What is the complex conjugate of 3-2i?
- What is the complex conjugate of 7i?
- What is the complex conjugate of -2?
- What is the complex conjugate of 1/3+5/6i?
- What is the complex conjugate of -3.25+4.28i?
- What is the complex conjugate of -2 +5i ?
- What is the complex conjugate of (2 - 4i)?
- What is the complex conjugate of the square root of -7?
- What is the complex conjugate of #( 7 + 6i) /(2 + 3i)#?
- What is the complex conjugate of #sqrt(-15)#?
- What is the complex conjugate of #sqrt(-13)#?
- What is the complex conjugate of ##?
- What is the complex conjugate of #i-3#?
- What is the complex conjugate of #-1 + 2sqrt2i#?
- What is the complex conjugate of #-2 + i#?
- What is the complex conjugate of #2 + 7i#?
- What is the complex conjugate of #-1+2sqrt(2i)#?
- What is the complex conjugate of #2-3i#?
- What is the complex conjugate of #3+4i#?
- What is the complex conjugate of #3i#?
- What is the complex conjugate of #4-3i#?
- Question #27939
- What is complex conjugate of #-a-b#?
- What is complex conjugate of #i#?
- What is complex conjugate of #4-2i#?
- What is complex conjugate of #5-7i#?
- What is complex conjugate of #25+49i#?
- What is complex conjugate of #-5-7i#?
- What is complex conjugate of #7-5i#?
- What is complex conjugate of # [ (3 + 8i)^4 ] / [ (1+i)^10 ]#?
- What is complex conjugate of #2 - sqrt(2i)#?
- How do you find the quadratic equation with roots at (2-i) and its complex conjugate?
- What is the complex conjugate of #-9i#?
- What is the complex conjugate of #8i - 3#?
- What is the complex conjugate of #10+6i#?
- What is the complex conjugate of #7+2i#?
- What is the complex conjugate of #sqrt(-7)#?
- What is the complex conjugate of #5 + 3i#?
- How do you write a polynomial with function of minimum degree in standard form with real coefficients whose zeros include -3,4, and 2-i?
- What is the complex conjugate of #2 - i#?
- What is the complex conjugate of #2 + i#?
- What is the complex conjugate of #1 + sqrt( -50)#?
- What is the complex conjugate of #1 + sqrt (-18)#?
- What is the complex conjugate of #4i#?
- If (2 - 4i) is a solution to a polynomial equation, is the complex conjugate, 2 + 4i, also a solution?
- What is the conjugate of #-2+3i#?
- What is the conjugate of #1 + 3i#?
- What is the conjugate of # 7 - 4i#?
- If (3 - 2i) is a solution to a polynomial equation, is the complex conjugate, 3 + 2i, also a solution?
- How do you simplify #(1 + i)(2 - 3i)#?
- How do you find all the complex roots of #x^2=-20#?
- How do you find all the complex roots of #x^3-x^2+x-1#?
- How do you find all the complex roots of #x^3+6x^2+11x+6#?
- How do you find all the complex roots of #x^2 + 8x + 21=0#?
- How do you find all the complex roots of #5x^6 + x^4 -3 = 0#?
- How do you find all the real and complex roots of #x^4-6x^2+5=0#?
- How do you find all the real and complex roots of #(z-1)^3 =8i#?
- How do you find all the real and complex roots of # x^4=1#?
- How do you find all the real and complex roots of #x^3 + 4x^2 + 3x = 0#?
- How do you find all the real and complex roots of #z^3 +1 = 0#?
- How do you find all the real and complex roots of #x^4 – 13x^3 + x^2 – 5 = 0#?
- How do you find all the real and complex roots of #x^7 – x^5 + x^2 – 3x + 3 = 0#?
- How do you find all the real and complex roots of #x^2-3=0#?
- How do you find all the real and complex roots of #x^2-4=0#?
- How do you find all the real and complex roots of #x^2-2x-5=0#?
- How do you find all the real and complex roots of #x^3 - x^2 - 7x + 15=0#?
- How do you find all the real and complex roots of #z² + 4z + 8 = 0#?
- How do you find all the real and complex roots of #x^3 + 8 = 0#?
- How do you find all the real and complex roots of #z^5 + 1 = 0#?
- How do you find all the real and complex roots of #2x^4 + 3x^3 - x^2 + 5 = 0#?
- How do you find all the real and complex roots of #f(x) = x^3 + 5x^2 + 7x + 3#?
- How do you find all the real and complex roots of #z^5 =1#?
- How do you find all the real and complex roots of #6x^5 - 28x + 15 = 0#?
- How do you find all the real and complex roots of #x^3 + 4x^2 + x + 4=0#?
- How do you find all the real and complex roots of #x^4 - 2x^3 - 4x^2 - 8x - 32 = 0#?
- How do you find all the real and complex roots of #x^3 + 8 = 0#?
- How do you find all the real and complex roots of #x^4 + 7x^3 + 31x^2 + 175x + 150 = 0#?
- How do you find all the real and complex roots of #x^2 + 6x + 13 = 0#?
- How do you find all the real and complex roots of #x^2 + 10x + 26 = 0#?
- How do you find all the real and complex roots of #x^2 + 8x + 25 = 0#?
- How do you find all the real and complex roots of #x^3 + 9x^2 + 19x - 29 = 0#?
- How do you find all the real and complex roots of #18x²+3x-1=0#?
- How do you find all the real and complex roots of #12x²+8x-15=0#?
- How do you find all the real and complex roots of #x^4-5x^3+11x^2-25x+30=0#?
- How do you find all the real and complex roots of #p(x) = x^5 + 4x^4 + 6x^3 + 4x^2 + 5x#?
- How do you find all the real and complex roots of #x(x^2 - 4)(x^2 + 16) = 0#?
- How do you find all the real and complex roots of #(x^ 2 + 4)(x + 5)^2 = 0#?
- How do you find all the real and complex roots of #x^7 + 128 = 0#?
- How do you find all the real and complex roots of #(x^3 + 9)(x^2 - 4) = 0#?
- How do you find all the real and complex roots of #x^4 + 3x^2 + 2 = 0#?
- How do you find all the real and complex roots of #f(x) = x^3 - 4x^2 - 16x + 64#?
- How do you find all the real and complex roots of #x^4-12x^2+27=0#?
- How do you find all the real and complex roots of # P(x) = x^5 + 3x^3 + 2x - 6#?
- How do you find all the real and complex roots of # P(x) = 3x^4 + x^3 + 2x^2 - 2#?
- How do you find all the real and complex roots of # P(x) = 2x^5 + 3x^4 + 2x^2 - 2#?
- How do you find all the real and complex roots and use Descartes Rule of Signs to analyze the zeros of #P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6#?
- How do you find all the real and complex roots and use Descartes Rule of Signs to analyze the zeros of # P(x) = 2x^5 + 7x^3 + 6x^2 - 2 #?
- How do you find all the real and complex roots and use Descartes Rule of Signs to analyze the zeros of #P(x) = 12x^4 + x^3 + 4x^2 + 7x + 8 #?
- How do you find all the real and complex roots and use Descartes Rule of Signs to analyze the zeros of #P(x) = x^3 - 4x^2 + x + 6#?
- How do you find all the real and complex roots of #x^5 + 7*x^3 + 3*x + 2 = 0#?
- How do you find all the real and complex roots of #125x^3 + 343 = 0#?
- How do you find all the real and complex roots of #x^3 - 2x^2 + 10x + 136 =0#?
- How do you find all the real and complex roots of #2x^4 - 5x^3 + 53x^2 - 125x + 75 = 0#?
- How do you find all the real and complex roots of #x^4-14x^2 +45=0#?
- How do you find all the real and complex roots of #f(x)= x^3-27#?
- How do you find all the real and complex roots of #f(x)= 3x^3 + 36x^2 + 156x + 240#?
- How do you find all the real and complex roots of #x^3+x^2+x+2#?
- How do you find all the real and complex roots of #f(x)= x^3-x+3#?
- How do you find all the real and complex roots of #r²-14r+49=0#?
- How do you find all the real and complex roots of #f(x) = 4x^4 + 4x^2 + 9x – 2#?
- How do you find all the real and complex roots of #z^7+z^4+4z^3+4=0#?
- How do you find all the real and complex roots of #x^5 - 32 = 0#?
- How do you find all the real and complex roots of #8-4x^3+4x^6=0#?
- How do you find all the real and complex roots of # x^6-28x^3+27=0#?
- How do you find all the real and complex roots of #x^2 - 20 = 0#?
- How do you find all the real and complex roots of #3x^2 - x + 2 = 0#?
- How do you find all the real and complex roots of #f (x) = x^5 – x^4 + 3x^3 + 9x^2 – x + 5#?
- How do you find all the real and complex roots of #-4x^4+3x^2+1#?
- How do you find all the real and complex roots of #3x^4+8x^3+6x^2+3x-2#?
- How do you find all the real and complex roots of #x^6-64=0#?
- How do you find all the real and complex roots of #F(x)=x^5-1#?
- How do you find all the real and complex roots of #2x^3 + 12x^2 + 50x = 0#?
- How do you find all the real and complex roots of #P(z)=z^4+1#?
- How do you find all the real and complex roots of #x^3 + 3x^2 + 3x + 3 = 0#?
- How do you find all the real and complex roots of #F(x) = -9x^4 + 12x^3+40x^2-60x+25#?
- How do you find all the real and complex roots of #x^2 - 2x +1 = 0#?
- How do you find all the real and complex roots of #8x^5-6x^4-83x^2-6x+8=0#?
- How do you find all the real and complex roots of #f(x)=x^3-5x^2+11x-15#?
- How do you find all the real and complex roots of #2x^5-4x^4-4x^2+5=0#?
- How do you find all the real and complex roots of #f(x)=x^3+x-3#?
- How do you find all the real and complex roots of #3x^3+2x^2+x-4=0#?
- #m# is a real number. #(x^2-mx+8) . (x-1) = 0# has two distinct roots. What are all #m# values?
- Do complex numbers behave like ordinary numbers?
- How do you simplify #(-3 + 2i) / (2 - 5i)#?
- How do you write a polynomial function with minimum degree whose zeroes are 1-2i and 1+2i?
- How do you write a polynomial function with minimum degree whose zeroes are -1, 2, 3i?
- How do you write a polynomial function with minimum degree whose zeroes are 5 and 3+2i?
- How do you find the number of complex zeros for the function #f(x)=x^4-9x^2+18#?
- How do you find the number of complex zeros for the function #f(x)=5x^5+36x^3+7x#?
- How do you find the number of complex zeros for the function #f(x)=3x^3+2x^2-x#?
- How do you find the number of complex zeros for the function #f(x)=27x^6+208x^3-64#?
- How do you find the number of complex zeros for the function #f(x)=27x^9+8x^6-27x^3-8#?
- If a polynomial function with rational coefficients has the zeros -5 and i, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros -1+i, sqrt5, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros #-3+sqrt5#, -i, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros 2, #-2+sqrt10#, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros -1, 5, #-2+sqrt5#, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros 2-2i, 1-2i, 1+2i, what are the additional zeros?
- If a polynomial function with rational coefficients has the zeros 2-3i, what are the additional zeros?
- How do you write a polynomial function of least degree given the zeros 0, 2, #sqrt3#?
- How do you write a polynomial function of least degree given the zeros -5, #sqrt3#?
- How do you write a polynomial function of least degree given the zeros -1, 2i?
- How do you write a polynomial function of least degree given the zeros 2i, -2i, 2+2i?
- How do you write a polynomial function of least degree given the zeros -2i, #2+2sqrt2#?
- How do you write a polynomial function of least degree given the zeros #sqrt6#, #-3+sqrt5#?
- How do you find all additional roots given the roots 2+3i and #sqrt7#?
- How do you find all additional roots given the roots #3-sqrt2# and #1+sqrt3#?
- How do you find all additional roots given the roots #-4i# and #6-i#?
- How do you find all additional roots given the roots #5-sqrt6# and #-2+sqrt10#?
- How do you find a fourth degree polynomial given roots #2i# and #4-i#?
- How do you find a fourth degree polynomial given roots #sqrt2# and #2-sqrt3#?
- How do you find a fourth degree polynomial given roots #3i# and #sqrt6#?
- How do you find a fourth degree polynomial given roots #2+i# and #1-sqrt5#?
- How do you find the roots of #x^3-5x^2+2x+8=0#?
- How do you find the roots of #x^3+x^2-17x+15=0#?
- How do you find the roots of #2x^4+13x^2+17x-12=0#?
- How do you find the roots of #x^3-18x+27=0#?
- How do you find the roots of #x^3-6x^2+13x-10=0#?
- How do you find the roots of #x^3-5x^2-x+5=0#?
- How do you find the roots of #x^3-2x^2-5x+6=0#?
- How do you find the roots of #x^3+x^2-5x+3=0#?
- How do you find the roots of #x^3+x^2-7x+2=0#?
- How do you find the roots of #x^3-x^2-17x+15=0#?
- How do you find the roots of #x^3-x^2-34x-56=0#?
- How do you find the roots of #x^4-5x^2+4=0#?
- How do you find the roots of #x^3-5x^2+4x+10=0#?
- How do you find the roots of #x^3+x+10=0#?
- How do you find the roots of #x^3-12x+16=0#?
- How do you find the roots of #x^3-8x^2-200=0#?
- How do you find the roots of #4x^3-12x^2-x+3=0#?
- How do you find the roots of #12x^3+31x^2-17x-6=0#?
- How do you use the rational root theorem to list all possible roots for #x^3+5x^2-2x-15=0#?
- How do you use the rational root theorem to list all possible roots for #36x^3+144x^2-x-4=0#?
- How do you use the rational root theorem to list all possible roots for #2x^3+5x^2+4x+1=0#?
- How do you use the rational root theorem to list all possible roots for #12x^4+14x^3-5x^2-14x-4=0#?
- How do you use the rational root theorem to list all possible roots for #5x^3-11x^2+7x-1=0#?
- How do you use the rational root theorem to list all possible roots for #x^3+81x^2-49x-49=0#?
- How do you find a third degree polynomial given roots #3# and #2-i#?
- How do you find a third degree polynomial given roots #5# and #2i#?
- How do you find a third degree polynomial given roots #-1# and #3+i#?
- How do you find a third degree polynomial given roots #-7# and #i#?
- How do you find a third degree polynomial given roots #-4# and #4i#?
- How do you find a third degree polynomial given roots #6# and #3-2i#?
- How do you find zeros of #y=5x^3-5x#?
- How do you find zeros of #f(x)=x^3-16x#?
- How do you find zeros of #g(x)=12x^3-2x^2-2x#?
- How do you find zeros of #y=6x^3+x^2-x#?
- How do you find zeros of #f(x)=5x^3+6x^2+x#?
- How do you find zeros of #y=-4x^3+100x#?
- How do you find the number of complex, real and rational roots of #2x^2+5x+3=0#?
- How do you find the number of complex, real and rational roots of #3x^2+11x-10=0#?
- How do you find the number of complex, real and rational roots of #2x^4-18x^2+5=0#?
- How do you find the number of complex, real and rational roots of #4x^3-12x+9=0#?
- How do you find the number of complex, real and rational roots of #x^3-x^2-2x+7=0#?
- How do you find the number of complex, real and rational roots of #x^3-6x^2-7x-12=0#?
- How do you find the number of complex, real and rational roots of #2x^4+x^2-x+6=0#?
- How do you find the number of complex, real and rational roots of #4x^5-5x^4+x^3-2x^2+2x-6=0#?
- How do you find the number of complex, real and rational roots of #7x^6+3x^4-9x^2+18=0#?
- How do you find the number of complex, real and rational roots of #5+x+x^2+x^3+x^4+x^5=0#?
- How do you find the zeros of #y=2x^3-8x^2+18x-72#?
- How do you find the zeros of #y=x^3-10x-12#?
- How do you find the zeros of #y=x^3-4x^2+8#?
- How do you find the zeros of #y=x^3-2x^2-11x+12#?
- How do you find the zeros of #g(x)=x^3+4x^2+7x+28#?
- How do you find the zeros of #f(x)=x^3+3x^2+6x+4#?
- How do you find the zeros of #g(x)=x^4-5x^2-36#?
- How do you find the zeros of #y=x^4-7x^2+12#?
- How do you find the zeros of #y=9x^4+5x^2-4#?
- How do you find the zeros of #y=4x^4-11x^2-3#?
- How do you write a polynomial with zeros 2, 1, 4 and leading coefficient 1?
- How do you write a polynomial with zeros 1,-4,5 and leading coefficient 1?
- How do you write a polynomial with zeros -6, 3, 5 and leading coefficient 1?
- How do you write a polynomial with zeros -5, 2, -2 and leading coefficient 1?
- How do you write a polynomial with zeros -2, -4, -7 and leading coefficient 1?
- How do you write a polynomial with zeros 8, -i, i and leading coefficient 1?
- How do you write a polynomial with zeros 3i, -3i, 5 and leading coefficient 1?
- How do you write a polynomial with zeros 2, -2, -6i and leading coefficient 1?
- How do you write a polynomial with zeros i, -3i, 3i and leading coefficient 1?
- How do you write a polynomial with zeros 3-i, 5i and leading coefficient 1?
- How do you write a polynomial with zeros 4, 4, 2+i and leading coefficient 1?
- How do you write a polynomial with zeros -2, -2, 3, -4i and leading coefficient 1?
- How do you solve #5x^2+5=0#?
- How do you solve #5x^2+64=0#?
- How do you solve #2x^2+12=0#?
- How do you solve #6x^2+72=0#?
- How do you solve #-3x^2-9=0#?
- How do you solve #-2x^2-80=0#?
- How do you solve #2/3x^2+30=0#?
- How do you solve #4/5x^2+1=0#?
- Suppose #w=(z+1)/(z-1)# where #z=a+bi#, #a, b in RR#. If #|z|=1#, can you find #Re(w)#?
- How do you simplify #(1+i)^2#?
- How do you write the simplest polynomial function with the zeros 2i, -2i and 6?
- When -3-2i is multiplied by its conjugate, what is the result?
- How do you simplify #(x+i)^2-(x-i)^2#?
- How do you find the real and imaginary solutions of #x^4-8x^2=-16#?
- Question #228d8
- Question #8b66e
- Question #bd452
- How do you find the quadratic equation that has the following roots: #4+-3isqrt2#?
- What are the real or imaginary solutions of the polynomials #x^4-52x^2+576=0#?
- What are the roots of #x^3+52x^2+1060x-4624 = 0#?
- Question #65294
- A real polynomial #P(x)# is the product of real linear and real quadratic factors. Can you that if a real quadratic factor has one zero, #a+bi#, then the other zero must be the complex conjugate, #a-bi#?
- #root(3)(-1) = # ?
- Find all complex roots of #z^3= -8i#?
- What are the roots of #z^3 = -8i# ?
- If w is a complex cube roots of unity then w^17: 1. 0 2. 1 3. w 4. w^2 Pleas explain?