# The common factor of the expression 2 x 4 + 4 x 3 − 14 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 62E
To determine

## To calculate: The common factor of the expression 2x4+4x3−14x2 .

Expert Solution

The common factor of the expression 2x4+4x314x2 is 2x2(x2+2x7) .

### Explanation of Solution

Given information:

The expression 2x4+4x314x2 .

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 2x4+4x314x2 .

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 2,4 and 14 is 2.

The greatest common factor of x4,x3 and x2 is x2 .

So, 2x4+4x314x2 can be written in simplified form as,

2x4+4x314x2=2x2(x2+2x7)

Thus, the common factor of the expression 2x4+4x314x2 is 2x2(x2+2x7) .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!