# The factor of the expression 3 x 3 + 5 x 2 − 6 x − 10 .

### 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 120E
To determine

## To calculate: The factor of the expression 3x3+5x2−6x−10 .

Expert Solution

The factor of the expression 3x3+5x26x10 is (x22)(3x+5) .

### Explanation of Solution

Given information:

The expression 3x3+5x26x10 .

Formula used:

To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Calculation:

Consider the given expression 3x3+5x26x10 .

Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

The common factor of 3x3 and 5x2 is x2 .

The common factor of (6x) and (10) is 2 .

So, simplify 3x3+5x26x10 further as,

3x3+5x26x10=x2(3x+5)2(3x+5)=(x22)(3x+5)

Thus, the factor of expression 3x3+5x26x10 is (x22)(3x+5) .

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