# The common factor of the expression 12 x 3 + 18 x .

### 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 95E
To determine

Expert Solution

## Answer to Problem 95E

The common factor of the expression 12x3+18x is 6x(2x2+3) .

### Explanation of Solution

Given information:

The expression 12x3+18x .

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 12x3+18x .

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.

Here, the greatest common factor of the terms 12x3 and 18x is 6x,

So, 12x3+18x can be written in simplified form as,

12x3+18x=6x(2x2+3)

Thus, the common factor of the expression 12x3+18x is 6x(2x2+3) .

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