Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 7.127 (page 874)

Factor completely:

8y2+16y-24

Short Answer

Expert verified

The factored form is 8(y+3)(y-1).

Step by step solution

01

Step 1. Given Information  

We are given a polynomial 8y2+16y-24,

We have to factor the given polynomial.

02

Step 2. Factoring the polynomial  

Factoring out GCF 8, we get

8y2+16y-24=8y2+2y-3=8y2+3y-y-3=8y2+3y+(-y-3)=8(y(y+3)-1(y+3))

Factoring out GCF y+3, we get

=8(y+3)(y-1)

03

Step 3. Checking the factors  

Mutliplying the factors, we get

8(y+3)(y-1)=8y2+16y-248(y(y+3)-1(y+3))=8y2+16y-248y2+3y-y-3=8y2+16y-248y2+2y-3=8y2+16y-248y2+16y-24=8y2+16y-24LHS=RHS

Hence, the factors are correct.

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

Solve:123b=-6-60b2

A boat’s sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13. Find the lengths of the two sides of the sail.

In the following exercises, find the greatest common factor.

90,150,105

Factor Trinomials of the form x2+bx+c

u2+17u+72

Pumpkin drop A fall tradition at the University of California San Diego is the Pumpkin Drop, where a pumpkin is dropped from the eleventh story of Tioga Hall.

(a) The binomial -16t2+128 gives the height of the pumpkin t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the pumpkin is thrown down with initial velocity 32 feet per second, its height after t seconds is given by the trinomial -16t2-32t+128.Completely factor this trinomial.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.

Sign-up for free