Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-5 Theorems About Roots of Polynomial Equations - Lesson Check - Page 315: 1

Answer

Possible rational roots: $\pm 1$, $\pm 2$

Work Step by Step

The coefficient of the leading term is $1$, and the constant is $-1$. Find the factors of the coefficient of the leading term and the factors of the constant term: Coefficient of the leading term factors: $\pm 1$ Constant term factors: $\pm 1$, $\pm 2$ The possible rational roots can be found using the formula: $\frac{p}{q}$, where $p$ is a factor of the constant term and $q$ is a factor of the leading coefficient. Plug factors into this formula: Possible rational roots: $\pm \frac{1}{1}$, $\pm \frac{2}{1}$ Simplify the fractions: Possible rational roots: $\pm 1$, $\pm 2$
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