## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Exercise Set: 81

#### Answer

$2x^4+3x^3-5x^3+4x^4=6x^4-2x^3$

#### Work Step by Step

Organise pairs of coefficients such that the coefficients will correspond to $6$ and $2$. $2x^\square+3x^\square-5x^\square+4x^\square=6x^4-2x^3$ $2+4=6$ $3-5=-2$. So $2x^4+4x^4=6x^4$ $3x^3-5x^3=-2x^3$ $2x^4+3x^3-5x^3+4x^4=6x^4-2x^3$.

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