   Chapter A.4, Problem 18E 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. 6 y 2 - 54

To determine

To factor completely:

6y2-54

Explanation

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,

6y2-54

First look for a common factor (GCF) of the terms 6y2, and -54.

 Terms Prime factors 6y2−54 2⋅3⋅y⋅y2⋅3⋅3⋅3⋅(−1)

Thus, the GCF of the terms 6y2 and -54 is 2·3=6.

Thus, the given expression can be expression as

6y2-54

=6·y2+6·(-9)

Here, ‘6’ is distributed over the expression y2+(-9)

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