## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 9 - Section 9.4 - Rotation of Axes - Exercise Set - Page 1011: 61

#### Answer

$x=-3$, multiplicity 2, touches the x-axis and turns around; $x=\frac{5}{2}$, multiplicity 3, crosses the x-axis.

#### Work Step by Step

Based on the given equation, we can identify the zeros as: (i) $x=-3$ with a multiplicity of 2, which means that the graph will touch the x-axis and turn around at this zero (ii) $x=\frac{5}{2}$ with a multiplicity of 3, which means that the graph will cross the x-axis at this zero.

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