   Chapter A.4, Problem 17E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

In Exercises 17 to 22, factor completely. 4 x 2 - 16

To determine

To factor completely:

4x2-16

Explanation

Approach:

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,

4x2-16

First look for a common factor (GCF) of the terms 4x2, -16.

 Terms Prime factors 4x2−16 2⋅2⋅x⋅x2⋅2⋅2⋅2⋅(−1)

Thus, the GCF of the terms 4x2 and -16 is 2·2=4.

Thus, the given expression can be expression as

4x2-16

=4·x2-4·4

Here, ‘4’ is distributed over the expression x2-4

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