a. Use synthetic division and the factor theorem to determine if [x - (3 + 4i)] is a factor of f(x) = x* - 6x + 25. b. Use synthetic division and the factor theorem to determine if [x - (3 - 4i)] is a factor of f(x) = x - 6x + 25. c. Use the quadratic formula to solve the equation. - 6x + 25 = 0 d. Find the zeros of the polynomial f(x) = x - 6x + 25.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 5CT
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a. Use synthetic division and the factor theorem
to determine if [x - (3 + 4i)] is a factor of
f(x) = x* - 6x + 25.
b. Use synthetic division and the factor theorem
to determine if [x - (3 - 4i)] is a factor of
f(x) = x - 6x + 25.
c. Use the quadratic formula to solve the equation.
- 6x + 25 = 0
d. Find the zeros of the polynomial f(x) = x - 6x + 25.
Transcribed Image Text:a. Use synthetic division and the factor theorem to determine if [x - (3 + 4i)] is a factor of f(x) = x* - 6x + 25. b. Use synthetic division and the factor theorem to determine if [x - (3 - 4i)] is a factor of f(x) = x - 6x + 25. c. Use the quadratic formula to solve the equation. - 6x + 25 = 0 d. Find the zeros of the polynomial f(x) = x - 6x + 25.
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