BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 9 to 16, factor each trinomial product.

12 a 2 + 31 a + 20

To determine

To factor:

The trinomial 12a2+31a+20

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,

12a2+31a+20

First look for a common factor (GCF) of the terms 12a2, 31a and 20.

But, the GCF is 1.

Now, let us factorize the given expression 12a2+31a+20 by the reverse FOIL method.

First factorize the product of the coefficient of the first term and the constant, such that the sum term of the factors gives the coefficient of the middle term.

Thus, factorize 240 as 16·15, such that the sum of the factors (16+15) gives 31.

Now, split the middle term 31a as 16a+15a

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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 914, determine whether the function is a polynomial function, a rational function, or some other f...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Is 460 divisible by3?

Elementary Technical Mathematics

Differentiate. y = 2 sec x csc x

Single Variable Calculus: Early Transcendentals, Volume I

True or False: If converges absolutely, then it converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th

The populations of sheep and wolves on an island is governed by a predator-prey model with constants k = 0.03, ...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th