Q. 7.119 Factor completely:聽10a2-17a+6.... [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. 7.119 (page 871)

Factor completely: $10 a^{2} - 17 a + 6$ .

Short Answer

Expert verified

The factors for $10 a^{2} - 17 a + 6$ are, $(5 a - 6) (2 a - 1)$ .

Step by step solution

Step 1. Given information

$10 a^{2} - 17 a + 6$ .

We need to find the factors for the given expression.

Step 2. Let us use the trial and error method to find the factors.

10 a^{2} - 17 a + 6

Possible Factors	Product
$(5 a - 6) (2 a - 1)$	$10 a^{2} - 17 a + 6$
$(a - 6) (10 a - 1)$	$10 a^{2} - 61 a + 6$
$(a - 3) (10 a - 2)$	Not an option
$(2 a - 6) (5 a - 1)$	Not an option
$(10 a - 6) (a - 1)$	Not an option
$(a - 2) (10 a - 3)$	$10 a^{2} - 23 a + 6$

So, the obtained factors are, $(5 a - 6) (2 a - 1)$ .

Step 3. Let us check the answer.

Multiply the factors.

$(5 a - 6) (2 a - 1) = (5 a . 2 a) + (5 a . - 1) + (- 6.2 a) + ((- 6) . (- 1)) = 10 a^{2} - 5 a - 12 a + 6 = 10 a^{2} - 17 a + 6$

which is correct.

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91影视

Factor completely: $10 a^{2} - 17 a + 6$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

One App. One Place for Learning.

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91影视

Factor completely:10a2-17a+6.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Calculus

Discrete Mathematics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Factor completely: $10 a^{2} - 17 a + 6$ .