Q 7.62 Factor completely:聽2t2-10t+12... [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 7.62 (page 837)

Factor completely: $2 t^{2} - 10 t + 12$

Short Answer

Expert verified

The factorization of the expression $2 t^{2} - 10 t + 12$ is $2 (t - 2) (t - 3)$

Step by step solution

Step 1. Given information

Given expression is $2 t^{2} - 10 t + 12$

Step 2. Find the Greatest Common Factor.

Greatest Common Factor is $2$

$2 t^{2} - 10 t + 12 = 2 (t^{2} - 5 t + 6)$

Step 3. Find the last terms of the binomials.

The factors of the expression:

Factors of 6	Sum of factors
2, 3	2 + 3 = 5
-2, -3	-2 + (-3) = -5

Step 4. Factorization

Use $- 2$ and $- 3$ as the last terms of the binomial.

$2 (t^{2} - 5 t + 6) = 2 (t - 2) (t - 3)$

Step 5. Check

$2 (t - 2) (t - 3) = 2 (t^{2} - 2 t - 3 t + 6) = 2 (t^{2} - 5 t + 6) = 2 t^{2} - 10 t + 12$

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91影视

Factor completely: $2 t^{2} - 10 t + 12$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the Greatest Common Factor.

Step 3. Find the last terms of the binomials.

Step 4. Factorization

Step 5. Check

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91影视

Factor completely:2t2-10t+12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the Greatest Common Factor.

Step 3. Find the last terms of the binomials.

Step 4. Factorization

Step 5. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Factor completely: $2 t^{2} - 10 t + 12$