# The factors of the expression 3 x 3 − x 2 + 6 x − 2 . ### 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 84E
To determine

## To calculate: The factors of the expression 3x3−x2+6x−2 .

Expert Solution

The factors of the expression 3x3x2+6x2 are (x2+2) and (3x1) .

### Explanation of Solution

Given information:

The expression 3x3x2+6x2 .

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 3x3x2+6x2 .

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,

3x3x2+6x2=(3x3x2)+(6x2)=x2(3x1)+2(3x1)=(x2+2)(3x1)

Thus, the factors of expression 3x3x2+6x2 are (x2+2) and (3x1) .

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