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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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
x39x xxx33x(1)4x

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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