# The factors of the expression 2 x 3 + x 2 − 6 x − 3 .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.3, Problem 85E
To determine

Expert Solution

## Answer to Problem 85E

The factors of the expression 2x3+x26x3 are (x23) and (2x+1) .

### Explanation of Solution

Given information:

The expression 2x3+x26x3 .

Formula used:

To factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Calculation:

Consider the given expression 2x3+x26x3 .

Recall that to factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Apply it,

2x3+x26x3=(2x3+x2)+(6x3)=x2(2x+1)3(2x+1)=(x23)(2x+1)

Thus, the factors of expression 2x3+x26x3 are (x23) and (2x+1) .

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