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 - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 490: 27

Answer

-7$x^{2}$ - 4x + 4; Quadratic trinomial

Work Step by Step

STEP1: Write out the original expression 6$x^{2}$ - 13$x^{2}$ - 4x + 4 =-7$x^{2}$ - 4x + 4 The expression has 3 terms in it, thus classifying itself as a trinomial. STEP 2: Make sure that the trinomial is in standard form, meaning that its terms are arranged from greatest exponent value to least exponent value. STEP 3: Determine the degree of the trinomial. The degree is the greatest exponent value, and in -7$x^{2}$ - 4x + 4, the degree is 2. The name of a trinomial with a degree of 2 is a quadratic trinomial.
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