Polynomial Functions of Higher Degree on a Graphing Calculator

Key Questions

• What is a higher degree polynomial function?

  Answer:

  See explanation...

  Explanation:

  A polynomial function of degree #n# is a function in the form:

  #f(x) = a_n x^n + a_(n-1) x^(n-1) + ... + a_1 x + a_0#

  where #a_n, a_(n-1), ..., a_1, a_0# are constants with #a_n != 0#

  For example a polynomial function of degree #2# is:

  #f(x) = 2x^2+3x-7#

  To say "higher degree" just means that #n# is larger, perhaps #4, 5# or #6# instead of #2# or #3#.

  George C. · 1 · Mar 18 2018

• What is a higher degree polynomial function?
• How do I graph #f(x) = x^5 - 3x^4 + 11x - 9# on a TI-84?
• How do I graph #f(x) = x^5 - 3x^4 + 11x - 9# on an Nspire?
• How do I find real zeros of #f(x) = x^5 - 3x^4 + 11x - 9# on a TI-84?
• How do I find extrema of #f(x) = x^7 - 14x^5 - 4x^3 - x^2 + 3# on a graphing calculator?
• How do you find the degree of the polynomial function #f(x)=-2x+7x^2#?
• How do you find the inverse function #f(x) = -3 x^7-2#?
• Is #f(x) = 5x^4 - pi(x)^3 + (1/2)# a polynomial function and if so what is the degree?
• Is #h(x) = sqrt{x} times (sqrt{x} - 1)# a polynomial function and if so what is the degree?
• Is #g(x) = (x^2 - 5)/(x^3)# a polynomial function and if so what is the degree?
• #P(x)# is a polynomial function. If #P(x^2) = (a-b+2)x^3 - 2x^2 + (2a+b+7)x - 20# , what is #P(a+b)# ?
• If #(x-2).P(x)= 3x^3+ax-10# , what is #P(-1)# ?
• Question #abbc9
• Question #19618
• Given #f(x) = -7x^2(2x-3)(x^2+1)# how do you determine the following?
• How do you solve #t^3-13t-12=0# ?
• How do you solve #x^3-3x+1=0# using Cadano's method ?
• Question #2019c
• Solve the equation #x^4+4x^3+8=0#?
• Find the values and roots of the equation #z^4-2z^3+7z^2-4z+10=0#?
• Find the cubic equation whose roots are the cubes of the roots of #x^3+ax^2+bx+c=0#,#a,b,cinRR#?
• Question #f36b9
• Is #x^2 + 8xy - y^2# a perfect square?
• Question #03f69
• Question #583ac
• Is the set of all polynomials in #P2# of the form #a_0 + a_1  x + a_2  x^2# where #a_0 = a_2 ^2# closed under addition?
• Can you show that #p(x)=2x^3 + 7x^2 + kx - k# is the produce of 3 linear factors, 2 of which are identical? Show that #k# can take 3 distinct values
• Let #P_2# is real polynomial space with the highest degree is 2. Specify the #x^2"-coordinate "# of the base #" "{x^2+x,x+1,x^2+1}" in "P_2# ?