Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q 6.26TI (page 578)

Factor $p^{2} + 15 p q + 20 q^{2}$

Short Answer

Expert verified

The trinomial is prime

Step by step solution

Given information

Given the polynomial $p^{2} + 15 p q + 20 q^{2}$

Create the factor table

The table is

Factors of $20$	Sum of factors
$1, 20$	$1 + 20 = 21$
$4, 5$	$4 + 5 = 9$
$5, 4$	$5 + 4 = 9$

Checking for the combinations

The combination doesn't gives $15$ as the sum so the trinomial is prime

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, factor the greatest common factor from each polynomial.

$8 p^{2} + 4 p + 2$

In the following exercises, factor.

$x^{3} + x^{2} - x - 1$ .

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$q^{2} - 13 q + 36$

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
$8 y^{3} - 125 z^{3}$

In the following exercises, factor completely.

$x^{2} + 12 x + 36 - y^{2}$

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Factor $p^{2} + 15 p q + 20 q^{2}$

Short Answer

Step by step solution

Given information

Create the factor table

Checking for the combinations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

Factorp2+15pq+20q2

Short Answer

Step by step solution

Given information

Create the factor table

Checking for the combinations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Factor $p^{2} + 15 p q + 20 q^{2}$