# Fundamental Theorem of Algebra

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Fundamental Theorem of Algebra### Questions

- What are common mistakes students make when using the fundamental theorem of algebra?
- How many complex roots does a cubic equation have?
- How many complex roots does #6x^4+x^3-5=0# have?
- How many complex roots does #6x^5+x^4-3=0# have?
- How do you know how many roots are in a polynomial?
- How do you solve #x^3+3x^2-10x-150# using the fundamental theorem of algebra?
- How do you solve #x^3-9x^2+14x=48# using the fundamental theorem of algebra?
- How do you find the roots for #f(x) = 6x^4 – 2x – 15# using the fundamental theorem of algebra?
- How do you find the roots for #f(x) = 17x^15 + 41x^12 + 13x^3 - 10# using the fundamental theorem of algebra?
- How do you find the roots for #f(x) = 15x^12 + 41x^9 + 13x^2 –10# using the fundamental theorem of algebra?
- How do you find the roots for #f(x)=16x^4+8x^3+4x^2-2x-15# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = 4x^3 – x^2 – 2x + 1# using the fundamental theorem of algebra?
- How do you find the number of roots for #0=x^3+450x^2-1350# using the fundamental theorem of algebra?
- How do you find the number of roots for #0=x^3-4x-48# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = 3x^4 + x + 2# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = x^3 – 75x + 250# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = 4x^3 – 20x – 50# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = 2x^3 – 12x^2 + 11x + 2# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = 4x^5 – 2x – 15# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = x^3 + 2x^2 - 24x# using the fundamental theorem of algebra?
- How do you find the number of roots for # f(x) = x^4 + 2x^3 - 3x^2 - 4x - 12# using the fundamental theorem of algebra?
- How do you find the number of roots for #f(x) = x^4 + 5x^3 +10x^2 + 20x + 24# using the fundamental theorem of algebra?
- How do you find the number of roots for #F(x)=x^3-10x^2+27x-12# using the fundamental theorem of algebra?
- How do you find the number of roots for #x^3 - 3x^2 - 18x - 176 = 0# using the fundamental theorem of algebra?
- How do you find the number of roots for # x^2-4x+4# using the fundamental theorem of algebra?
- If #y=sqrt(x^2+6x+8)#,show that one value of #sqrt(1+iy)+sqrt(1-iy)=sqrt(2x+8)#?