/*! 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 24E In the following exercises, fact... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q 24E (page 1069)

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

21pq2+35p2q2-28q3

Short Answer

Expert verified

The simplest polynomial is

7q2(3p+5p2-4q).

Step by step solution

01

Step 1. Given   

A polynomial is given as21pq2+35p2q2-28q3.

02

Step 2. Concept Used. 

First we have to find the GCF (group common factor). Now, rewrite the given polynomial using GCF and apply the distributive property to factor the expression.

03

Step 3. Calculation.    

A polynomial is given as21pq2+35p2q2-28q3

GCF of the polynomial,

localid="1661579145266" 21pq2=3脳7脳p脳q脳q35p2q2=5脳7脳p脳p脳q脳q28q3=2脳2脳7脳q脳q脳qGCF=7q2

04

Step 4. Simplifying the polynomial.   

21pq2+35p2q2-28q37q2(3p+5p2-4q)

05

Step 5. Check the solution.   

Check by multiplying the factors.

7pq2(3+5p-4q)=21pq2+35p2q2-28q3

Which holds 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

Factor completely:27y2-48

Simplify::
(a)3612

(b)813

(c)1614

Solve:9x+914-2=1

Factor Trinomials of the Form ax2+bx+cusing the 鈥榓c鈥� Method.

5s2鈭�9s+4

In the following exercises, solve.

q3+3q2+2q=0
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

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.