pre-calculus

posted by .

find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24

use the complex zeros to write f in factored form.
f(x)=
(reduce fractions and simplify roots)

  • pre-calculus -

    try factors of 24
    f(1) = 1 - 7 + 20 - 24 ≠0
    f(-1) = -1 -7 - 20 - 24 ≠ 0
    f(2) = ≠0
    f(-2) ≠ 0
    f(3) = 27 - 63 + 60 - 24 = 0
    So (x-3) is a factor

    Using synthetic division, I got
    x^3-7x^2+20x-24 = (x-3)(x^2 -4x + 8)

    Solving the 2nd part:
    x^2 - 4x + .... = -8 + ....
    x^2 - 4x + 4 = -8+4
    (x-2)^2 = -4
    x-2 = ± 2i
    x = 2 ± 2i

    f(x) = (x-3)(x^2 -4x + 8)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. college algebra

    find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^3-6x^2+21x-26
  2. calculus

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+42x-72 please show work.
  3. calculus

    Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 Please show wrok, I do not understand how to do this.
  4. calculus--please help!!

    find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
  5. Find the complex zeros

    Find the complex zeros of the polynomial function. Write f in the factored form. f(x)=x^3-3x^2+7x-5 f(x)=
  6. algebra

    Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^3-8x^2+29x-52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots)
  7. math

    Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3 - 8x^2 + 30x - 36
  8. Algebra

    find the complex zeros of the polynomial. Write f in factored form: F(x)= 2x^2-5x^3-20x^2+115x-52=0
  9. Algebra

    Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52
  10. Algebra

    Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^4-5x^3-20x^2+115x-52

More Similar Questions