Consider f(x) = ka4 – x³ – 5x? + x +3 such that one of the roots of f is –1. 1. What is the value of k? 2. Using the Rational Roots Theorem, list all the possible rational zeros of f. 3. Find the other complex zeros of f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Consider f(x) = ka4 – x³ – 5x? + x +3 such that one of the roots of f is –1.
1. What is the value of k?
2. Using the Rational Roots Theorem, list all the possible rational zeros of f.
3. Find the other complex zeros of f.
Transcribed Image Text:Consider f(x) = ka4 – x³ – 5x? + x +3 such that one of the roots of f is –1. 1. What is the value of k? 2. Using the Rational Roots Theorem, list all the possible rational zeros of f. 3. Find the other complex zeros of f.
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