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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter A.4, Problem 12E
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Elementary Geometry for College St...

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

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
BuyFindarrow_forward

Elementary Geometry for College St...

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

In Exercises 9 to 16, factor each trinomial product.

y 2 - 4 y - 96

To determine

To factor:

The trinomial y2-4y-96.

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,

y2-4y-96

First look for a common factor (GCF) of the terms y2, -4y and -96.

But, the GCF is 1.

Now, let us factorize the given expression y2-4y-96 by the reverse FOIL method.

First factorize the last constant (-96) of the expression such that the sum of the factors gives the coefficient of the middle term (-4).

Thus, factorize -96 as -12·8 such that the sum of the factors (-12+8) gives -4.

Now, split the middle term -4y as -12y+8y

Hence the given expression becomes

=y2-4y-96

=y2-12y+8y-96

=y·y+

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