Chapter A.4, Problem 23E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 + 5 x 2 + 4 x

To determine

The three factors of the cubic trinomials

x3+5x2+4x.

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+5x2+4x

First look for the common factor (GCF) of the terms x3, 5x2 and 4x.

 Terms Prime factors x35x24x â€‰â€‰â€‰â€‰xâ‹…xâ‹…x5â‹…xâ‹…x4â‹…â€‰x

Thus, the GCF of the terms x3, 5x2 and 4x is x.

The given expression can be expressed as

x3+5x2+4x

=xÂ·x2+xÂ·5x+xÂ·4

Here, x is distributed over the expression x2+5x+4. By the reverse of the distributive property of multiplication,

xÂ·(x2+5x+4)

Now, factor the expression x2+5x+4 by the reverse FOIL method

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started