Algebra 2 Common Core

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

Chapter 5 - Polynomials and Polynomial Functions - Mid-Chapter Quiz - Page 311: 13

Answer

$-3x^3+5x+6$ $\text{This is a cubic trinomial.}$

Work Step by Step

To figure the degree of a polynomial, we look at the term with the highest power. Let us rewrite this expression in terms of descending powers; this means that we are writing the polynomial in standard form: $-2x^3 - x^3 + 5x + 6$ Let us combine like terms: $-3x^3 + 5x + 6$ This polynomial is now written in standard form. In this polynomial, the term $-3x^3$ has the highest power. A third degree polynomial can be called "cubic." A polynomial with three terms is called a "trinomial." There are three terms in this polynomial with the highest term being cubic, so we call it a cubic trinomial.
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