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: 29

Answer

3$z^{4}$ - 2$z^{2}$ - 5z; Quartic trinomial

Work Step by Step

STEP 1: Write out the original expression. 3$z^{4}$ - 5z - 2$z^{2}$ The expression has 3 terms in it, thus classifying itself as a trinomial. STEP 2: Arrange the trinomial into standard form, meaning that the terms are listed from greatest exponent value to the least exponent value. 3$z^{4}$ - 2$z^{2}$ - 5z The degree is the greatest exponent value, and in 3$z^{4}$ - 2$z^{2}$ - 5z, the degree is 4. The name of a trinomial with a degree of 4 is a quartic trinomial.
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