/*! 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. 7.128 Factor completely:5u2-15u-270... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 7.128 (page 874)

Factor completely:

5u2-15u-270

Short Answer

Expert verified

The factored form is 5(u-9)(u+6).

Step by step solution

01

Step 1. Given Information  

We are given a polynomial 5u2-15u-270,

We have to factor the given polynomial.

02

Step 2. Factoring the polynomial  

Factoring out GCF 5, we get

5u2-15u-270=5u2-3u-54=5u2-9u+6u-54=5(u(u-9)+6(u-9))

Factoring out GCF u-9, we get

5u2-15u-270=5(u-9)(u+6)

03

Step 3. Checking the factors  

Mutiplying the factors, we get

5(u-9)(u+6)=5u2-15u-2705(u(u-9)+6(u-9))=5u2-15u-2705u2-9u+6u-54=5u2-15u-2705u2-3u-54=5u2-15u-2705u2-15u-270=5u2-15u-270LHS=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.

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

Find the Greatest Common Factor from a polynomial

24pt4+16t7

In the following exercises, solve.

(5b+1)(6b+1)=0

A boat鈥檚 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.

Factor:20x3-10x2+14x.

Find the Greatest Common Factor of Two or More Expressions.

60,294,630
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.