Q 7.65 Factor completely:聽2a2+5a+3... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q 7.65 (page 840)

Factor completely: $2 a^{2} + 5 a + 3$

Short Answer

Expert verified

The factorization of the expression $2 a^{2} + 5 a + 3$ is $(a + 1) (2 a + 3)$

Step by step solution

Step 1. Given information

Given expression is $2 a^{2} + 5 a + 3$

Step 2. Find all the factor pairs of the first term.

The only factors of the first term $2 a^{2}$ are $a, 2 a$

Step 3. Find all the factor pairs of the third term.

The only factors of the third term $3$ are $1, 3$

Step 4. Test all the possible combinations until the correct product is found.

Possible factors	Product
(a + 1) (2a + 3)	2a² + 5a + 3
(a + 3) (2a + 1)	2a² + 7a + 3

Step 5. Check

$(a + 1) (2 a + 3) = 2 a^{2} + 3 a + 2 a + 3 = 2 a^{2} + 5 a + 3$

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91影视

Factor completely: $2 a^{2} + 5 a + 3$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find all the factor pairs of the first term.

Step 3. Find all the factor pairs of the third term.

Step 4. Test all the possible combinations until the correct product is found.

Step 5. Check

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91影视

Factor completely:2a2+5a+3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find all the factor pairs of the first term.

Step 3. Find all the factor pairs of the third term.

Step 4. Test all the possible combinations until the correct product is found.

Step 5. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Pure Maths

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Factor completely: $2 a^{2} + 5 a + 3$