# Chapter 2 - Section 2.4 - Dividing Polynomials; Remainder and Factor Theorems - Exercise Set - Page 363: 20

quotient $5x-27$ and remainder $r(x)=\frac{73}{x+3}$

#### Work Step by Step

Step 1. The coefficients of the dividend can be identified as $\{5,-12,-8 \}$ and the divisor as $x+3$; use synthetic division as shown in the figure to get the quotient and the remainder. Step 2. We can identify the result as $\frac{5x^2-12x-8}{x+3}=5x-27+\frac{73}{x+3}$ with the quotient as $5x-27$ and the remainder as $r(x)=\frac{73}{x+3}$

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