Chapter A.4, Problem 1E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Note: Exercises preceded by an asterisk are of a more challenging nature.In Exercises 1 to 4, factor by using the GCF. a x 2 + 5 a x + 7 a

To determine

To factor:

To factor using the GCF.

ax2+5ax+7a

Explanation

Definition:

Factorizing a polynomial is to express the polynomial as a product of simpler expressions such that each of the simpler expressions divides the polynomial completely and also the product of all the simpler expressions gives the polynomial.

Calculation:

Given,

ax2+5ax+7a

First let us find the GCF of the terms in the above expression.

Thus, the GCF of the terms ax2, 5ax, 7a is a.

Thus, the given expression can be expressed as

=ax2+5ax+7a

=aÂ·x

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