Find (f*g)(x) if f(x)=x2+x+1 and g(x)=x2−x−1. Choose from the answers below. a) (f*g)(x)=x4+x2+2x+1 b) (f*g)(x)=x4+2x3+3x2+2x+1 c) (f*g)(x)=x4-2x3-3x2-2x-1 d) (f*g)(x)=x4-x2-2x-1

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 6ECP: Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
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Find (f*g)(x) if f(x)=x2+x+1 and g(x)=x2−x−1. Choose from the answers below.

a) (f*g)(x)=x4+x2+2x+1

b) (f*g)(x)=x4+2x3+3x2+2x+1

c) (f*g)(x)=x4-2x3-3x2-2x-1

d) (f*g)(x)=x4-x2-2x-1

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