Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.2 - Polynomial Functions of Higher Degree - 3.2 Exercises - Page 261: 68



Work Step by Step

Make both zeroes repeated in order to get a polynomial of degree 4: $f(x)=a[x-(-4)]^2[x-(-1)]^2=a(x^2+8x+16)(x^2+2x+1)=a(x^4+10x^3+33x^2+40x+16)$ $a$ can be any value. If $a=1$: $f(x)=x^4+10x^3+33x^2+40x+16$
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