/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 448 Factor completely:p2+pq-12q2.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 448 (page 638)

Factor completely:

p2+pq-12q2.

Short Answer

Expert verified

The factored polynomial is,

(p+4q)(p-3q).

Step by step solution

01

Step 1. Given the information.

The polynomial function is,

p2+pq-12q2.

02

Step 2. Factoring the polynomial.

p2+pq-12q2

Splitting the middle term such that the sum of the terms is 1and the product of the terms is (-12).

=p2+4pq-3pq-12q2

=(p2+4pq)-(3pq+12q2)

Finding the common factors,

=p(p+4q)-3q(p+4q)=(p+4q)(p-3q)

03

Step 3. Checking the solution.

(p+4q)(p-3q)

Multiplying the brackets,

=p(p-3q)+4q(p-3q)=p2-3pq+4pq-12q2=p2+pq-12q2

This is true.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Factorp2+15pq+20q2

In the following exercises, factor completely.

27u3+1000
In the following exercises, factor.

x3+x2鈭�x鈭�1.

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

8p2+4p+2

How do you recognize the binomial squares pattern?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.