Answer
$f(x)=x^5-3x^3$
Work Step by Step
Finding a polynomial with degree of $5$:
$$f(x)=(x-0)^3\left[x-(-\sqrt3)\right](x-\sqrt3)$$ $$f(x)=x^3(x+\sqrt3)(x-\sqrt3)$$ $$f(x)=x^3(x^2-3)$$ $$f(x)=x^5-3x^3$$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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: 69
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