BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 125E
To determine

To calculate: The common factor of the expression 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 .

Expert Solution

Answer to Problem 125E

The common factor of the expression 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 is 2(x2+4)4(x2)3(7x210x+8) .

Explanation of Solution

Given information:

The expression 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 .

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 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 .

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 terms have the common factor 2(x2+4)4(x2)3 .

So, 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 can be written in simplified form as,

  5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3=2(x2+4)4(x2)3(5x(x2)+2(x2+4))=2(x2+4)4(x2)3(5x210x+2x2+8)=2(x2+4)4(x2)3(7x210x+8)

Thus, the common factor of the expression 5(x2+4)4(2x)(x2)4+(x2+4)5(4)(x2)3 is 2(x2+4)4(x2)3(7x210x+8) .

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!