Post a New Question

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

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question