# The common factor of the expression 30 x 3 + 15 x 4 .

### 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 96E
To determine

## To calculate: The common factor of the expression 30x3+15x4 .

Expert Solution

The common factor of the expression 30x3+15x4 is 15x3(x+2) .

### Explanation of Solution

Given information:

The expression 30x3+15x4 .

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 30x3+15x4 .

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 30x3 and 15x4 is 15x3 ,

So, 30x3+15x4 can be written in simplified form as,

30x3+15x4=15x3(2+x)=15x3(x+2)

Thus, the common factor of the expression 30x3+15x4 is 15x3(x+2) .

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