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` ?