Form a polynomial f(x) with real coefficients having the given degree and zeros. 40) Degree: 4; zeros: -1, 2, and 1 - 2i.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15RE
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Form a polynomial f(x) with real coefficients having the given degree and zeros.
40) Degree: 4; zeros: -1, 2, and 1- 2i.
40)
Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real
numbers.
41) f(x) - 4x3 - 11x2 - 6х +9
41)
List the potential rational zeros of the polynomial function. Do not find the zeros.
42) f(x) — 6x4 + Зx3- 2х2 + 2
42)
Transcribed Image Text:Form a polynomial f(x) with real coefficients having the given degree and zeros. 40) Degree: 4; zeros: -1, 2, and 1- 2i. 40) Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. 41) f(x) - 4x3 - 11x2 - 6х +9 41) List the potential rational zeros of the polynomial function. Do not find the zeros. 42) f(x) — 6x4 + Зx3- 2х2 + 2 42)
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