Q 7.67 Factor completely:聽8x2-14x+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 7.67 (page 841)

Factor completely: $8 x^{2} - 14 x + 3$

Short Answer

Expert verified

The factorization of the expression $8 x^{2} - 14 x + 3$ is $(4 x - 1) (2 x - 3)$

Step by step solution

Step 1. Given information

The expression is $8 x^{2} - 14 x + 3$

Step 2. Find the product a×c

$a 脳 c = 8 脳 3 = 24$

Step 3. find the last terms of the binomials.

Find numbers that multiply to $24$ and add to $- 14$

Factors of 24	Sum of factor
-12, -2	-12 + (-2) = -14

Step 4. Factorization

Use $- 12$ and $- 2$ as the last terms of the binomials.

$8 x^{2} - 12 x - 2 x + 3 = 4 x (2 x - 3) - 1 (2 x - 3) = (4 x - 1) (2 x - 3)$

Step 5. Check

$(4 x - 1) (2 x - 3) = 8 x^{2} - 2 x - 12 x + 3 = 8 x^{2} - 14 x + 3$

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91影视

Factor completely: $8 x^{2} - 14 x + 3$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the product a×c

Step 3. find the last terms of the binomials.

Step 4. Factorization

Step 5. Check

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91影视

Factor completely:8x2-14x+3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the product a×c

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

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Factor completely: $8 x^{2} - 14 x + 3$