   Chapter A.4, Problem 24E 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 23 to 24, find the three factors for the cubic trinomials.  x 3 - 9 x

To determine

To find:

The three factors of the cubic trinomial

x3-9x

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,

x3-9x

First look for the common factor (GCF) of the terms x3 and 9x.

 Terms Prime factors x3−9x x⋅x⋅x3⋅3⋅x⋅(−1)4⋅ x

Thus, the GCF of the terms x3, -9x is x.

The given expression can be expressed as

x3-9x

=x·x2-9·x

Here, x is distributed over the expression

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