# Chapter 5 - Section 5.1 - Adding and Subtracting Polynomials - Exercise Set - Page 348: 34

$13x^{3}$ + 1

#### Work Step by Step

(12$x^{3} - x^{2}- x + \frac{4}{3}$) + ($x^{3} + x^{2} + x - \frac{1}{3}$) The like terms are 12$x^{3}$ and $x^{3}$(both containing $x^{3}$) , -$x^{2}$ and $x^{2}$ (both containing $x^{2}$) , -x and x (both containing r) , $\frac{4}{3}$ and -$\frac{1}{3}$ both are constants We begin by grouping these pairs of like terms = (12$x^{3}$ + $x^{3}$) + (-$x^{2}$ + $x^{2}$) + (-x + x)+ ($\frac{4}{3}$ - $\frac{1}{3}$) =$13x^{3}$ + 1

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