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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 7: Q 196. (page 850)

Factorize the following polynomial : $3 q^{2} + 6 q + 2$

Short Answer

Expert verified

The given polynomial is prime.

Step by step solution

01

Step 1. Given information

Given expression is : $3 q^{2} + 6 q + 2$

02

Step 2. Find 'ac'

Here, 'ac' is $3 脳 2 = 6$

03

Step 3. Detection of prime polynomial

Here, the sum of factors is not equal to $4$ .

Factors of $6$	Sum of factors
$1, 6$	$1 + 6 = 7$
$2, 3$	$2 + 3 = 5$

Hence, the polynomial is prime.

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