Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q12. (page 667)

Factor each polynomial.
$6 x^{2} 鈭� 5 x 鈭� 4$

Short Answer

Expert verified

The factors of given polynomial are $(3 x 鈭� 4) (2 x + 1)$ .

Step by step solution

Step 1. Find the GCF.

Find the GCF of $6 x^{2}, 5 x$ and 4.

$6 x^{2} = 1 鈰� 2 鈰� 3 鈰� x 鈰� x 6 x^{2} = 1 鈰� 2 鈰� 3 鈰� x 鈰� x 4 = 1 鈰� 2 鈰� 2$

Therefore, GCF is 1.

Step 2. Apply factoring pattern of ax2+bx+c.

There are two numbers having product of 24 and sum of $鈭� 5$ . The numbers are $3$ and $鈭� 8$ .

$6 x^{2} + m x + n x 鈭� 4 = 6 x^{2} + 3 x 鈭� 8 x 鈭� 4$

Step 3. Group terms with common factors and factor out GCF.

Group terms with common factors and factor out GCF from each grouping.

$\begin{matrix} (6 x^{2} + 3 x) + (鈭� 8 x 鈭� 4) = 3 x (2 x + 1) 鈭� 4 (2 x + 1) \\ = (3 x 鈭� 4) (2 x + 1) \end{matrix}$

Therefore, the factors of $6 x^{2} 鈭� 5 x 鈭� 4$ are $(3 x 鈭� 4) (2 x + 1)$ .

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91影视

Factor each polynomial.
$6 x^{2} 鈭� 5 x 鈭� 4$

Short Answer

Step by step solution

Step 1. Find the GCF.

Step 2. Apply factoring pattern of ax2+bx+c.

Step 3. Group terms with common factors and factor out GCF.

One App. One Place for Learning.

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91影视

Factor each polynomial.6x2鈭�5x鈭�4

Short Answer

Step by step solution

Step 1. Find the GCF.

Step 2. Apply factoring pattern of ax2+bx+c.

Step 3. Group terms with common factors and factor out GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Factor each polynomial.
$6 x^{2} 鈭� 5 x 鈭� 4$