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Chapter 6: Q. 452 (page 638)

Factor completely:

6x2-11x-10.

Short Answer

Expert verified

The factored polynomial is,

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

Step by step solution

01

Step 1. Given the information.

The polynomial function is,

6x2-11x-10.

02

Step 2. Factoring the polynomail.

6x2-11x-10

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

=6x2-15x+4x-10=(6x2-15x)+(4x-10)

Taking out the common factors,

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

03

Step 3. Checking the solution.

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

Multiplying the brackets,

=3x(2x-5)+2(2x-5)=6x2-15x+4x-10=6x2-11x-10

This is true.

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Most popular questions from this chapter

In the following exercises, factor.

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In the following exercises, factor each trinomial of the form x2-bx+c.

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Why was it important to practice using the binomial squares pattern in the chapter on multiplying polynomials?

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