algebra

posted by .

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)

  • algebra -

    testing for x = ±2, ± 4 and ±13, I found
    f(4) = 0 , so x=4 is a zero, and x-4 is a factor

    x^3-8x^2+29x-52 = (x-4)(x^2 - 4x + 13) = 0

    solving x^2 - 4x + 13 = 0 by completing the square (in this case faster than the formula)
    x^2 - 4x + 4 = -13+4
    (x-2)^2 = -9
    x-2 = ± 3i

    x = 2 ± 3i

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. pre-calculus

    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)
  3. college algebra

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+37x-52
  4. 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.
  5. 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
  6. 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)=
  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