## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 490: 28

#### Answer

-3$c^{7}$ + 8$c^{3}$ + c; Septic trinomial

#### Work Step by Step

STEP 1: Write out the original expression. c + 8$c^{3}$ - 3$c^{7}$ 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$c^{7}$ + 8$c^{3}$ + c The degree is the greatest exponent value, and in -3$c^{7}$ + 8$c^{3}$ + c, the degree is 7. The name of a trinomial with a degree of 7 is a septic trinomial.

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