Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review: 6

Answer

$-9r^2+11r+3$, Quadratic Trinomial.

Work Step by Step

To put a polynomial into standard form, we apply the commutative property of addition to move around the terms so that their exponents are in descending order. When we do this for $4r+3-9r^2+7r$, we get $-9r^2+4r+7r+3$. We combine like terms to get $-9r^2+11r+3$. To name a polynomial, we must look at the degree and the number of terms. Since this polynomial has $3$ terms with a highest exponent of $2$, we call it a quadratic trinomial.
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