Chapter 6: Q. 452 (page 638)

Factor completely:
$6 x^{2} - 11 x - 10 .$

Short Answer

Expert verified

The factored polynomial is,

$(2 x - 5) (3 x + 2)$ .

Step by step solution

Step 1. Given the information.

The polynomial function is,

$6 x^{2} - 11 x - 10$ .

Step 2. Factoring the polynomail.

$6 x^{2} - 11 x - 10$

Splitting the middle term such that the sum of the terms is $(- 11)$ and the product of the terms is $(- 60)$ .

$= 6 x^{2} - 15 x + 4 x - 10 = (6 x^{2} - 15 x) + (4 x - 10)$

Taking out the common factors,

$= 3 x (2 x - 5) + 2 (2 x - 5) = (3 x + 2) (2 x - 5)$

Step 3. Checking the solution.

$(3 x + 2) (2 x - 5)$

Multiplying the brackets,

$= 3 x (2 x - 5) + 2 (2 x - 5) = 6 x^{2} - 15 x + 4 x - 10 = 6 x^{2} - 11 x - 10$

This is true.

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Factor completely:
$6 x^{2} - 11 x - 10 .$

Short Answer

Step by step solution

Step 1. Given the information.

Step 2. Factoring the polynomail.

Step 3. Checking the solution.

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Factor completely:6x2-11x-10.

Short Answer

Step by step solution

Step 1. Given the information.

Step 2. Factoring the polynomail.

Step 3. Checking the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Factor completely:
$6 x^{2} - 11 x - 10 .$