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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 7 (page 917)

In the following exercises, evaluate the rational expression for the given values.
$\frac{2 p + 3}{p^{2} + 1} (a) p = 0 (b) p = 1 (c) p = - 2$

Short Answer

Expert verified

The required answers are

$Part (a) 3 Part (b) \frac{5}{2} Part (c) \frac{- 1}{5}$

Step by step solution

01

Part(a) Step 1. Given Information

The given expression is $\frac{2 p + 3}{p^{2} + 1}$

02

Part (a) Step 2. Calculation

Substitute 0 for p,

$\frac{2 p + 3}{p^{2} + 1} = \frac{2 (0) + 3}{{(0)}^{2} + 1} = \frac{3}{1} = 3$

03

Part (b) Step 1. Calculation

Substitute 1 for p,

$\frac{2 p + 3}{p^{2} + 1} = \frac{2 (1) + 3}{{(1)}^{2} + 1} = \frac{5}{2}$

04

Part (c) Step 1. Calculation

Substitute $- 2$ for p,

$\frac{2 p + 3}{p^{2} + 1} = \frac{2 (- 2) + 3}{{(- 2)}^{2} + 1} = \frac{- 4 + 3}{4 + 1} = \frac{- 1}{5}$

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