Algebra 2 Common Core

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

Chapter 5 - Polynomials and Polynomial Functions - 5-7 The Binomial Theorem - Practice and Problem-Solving Exercises - Page 330: 67

Answer

$-7x^2 + 4x + 1$ $\text{This is a quadratic trinomial.}$

Work Step by Step

To figure the degree of a polynomial, we look to the term with the highest power. Let's rewrite this expression in terms of descending powers: $-7x^2 + 4x + 1$ In this polynomial, the term $-7x^2$ has the highest power. A second degree polynomial can be called "quadratic." There are three terms in this polynomial (called a "trinomial") with the highest term being quadratic, so we call it a quadratic trinomial.
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