Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

In $3-8,$ write each polynomial as the product of its greatest common monomial factor and a polynomial.$$5 a b^{2}-15 a b+20 a^{2} b$$

$5a b(b-3+4 a)$

Algebra

Chapter 1

THE INTEGERS

Section 6

Factoring Polynomials

The Integers

Equations and Inequalities

Polynomials

Campbell University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

02:16

In $3-8,$ write each polyn…

02:24

03:06

01:49

01:34

00:35

Factor each polynomial.

01:06

Factor the greatest common…

00:32

01:25

Factor out the GCF in each…

01:24

in this exercise, we want to write each polynomial as a product of its greatest common mental male factor in a polynomial. So as all these questions go but I like to do first is look at each term separately, kind of break it down into its parts and then see what is shared by all these. Because that's how we're gonna find the G c d. And then we factor that out will be left with that polynomial so that we could write that product. So let's first look at this first term. So five a B squared. How do we write that? We could write that as five times a day, taking B squared. I just be tongues be so yes, we have Now, this wouldn't go that negative for now. But we have this 15. Maybe we're going to write that will have five times three breaking 15 down into it. Uh, prime rib. Cornish is five times three. Then we have times a times B and then we have our last term. Just write that minus here. Let's hear that last term we have 20 which we can break down into two times. Two times five a square. So eight times a day and then one be termed sometimes be so here. Now that we have broken all this down, I'm gonna go in with the green, and I'm gonna highlight everything that is the same between all of themselves. Look at that five. Does each term ever vibes were five here, five here in a five year. So we did. How about a We haven't a here and a here and then a here. How about a B? We have to be here of the here and maybe here. So you having second B? But as we can see, that is not gonna be shared by all of the components, because this is the only term that's gonna have that B squared. So this part is not gonna be part of the product that we're going to write. So we have five baby fire, baby fire, baby, that is shared by all means. Let's take it up. You have five a. B. That is gonna be our g c. D. Now, to write the polynomial part of the product, we're gonna look at basically what wasn't underlying so in this part's be in this part we have minus just 30 minus three and then this part. We have this two times, two times a so two times two is 44 times ages for a plus for a and it's as simple as that.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

In $3-8,$ write each polynomial as the product of its greatest common monomi…

Factor each polynomial.$$10 a^{2} b^{3}+5 a b^{2}-15 a b^{3}$$

Factor the greatest common factor from each polynomial.$$-8 a^{3}+32 a^{…

Factor the greatest common factor from each polynomial.$$a b+8 b$$

Factor out the GCF in each polynomial.$$8 a^{3} b^{3}-4 a^{2} b^{2}+…

Factor the greatest common factor from each polynomial.$$8 c^{5}+40 c^{4…

00:29

In $3-38$ write each expression in simplest form. Variables in the radicand …

00:26

List the values of the variables for which the rational expression is undefi…

03:42

In $3-14,$ solve and check each inequality.$$\frac{2-d}{7}>\frac{…

07:29

In $3-20,$ solve each equation and check.$$1=\frac{5}{x+3}+\frac{5}{…

00:58

00:55

In $3-38$ , write each radical in simplest radical form. Variables in the ra…

01:23

Every year, Javier makes a total contribution of $\$ 125$ to two local chari…

Brianna said that $\frac{3}{x-2}=\frac{5}{x+2}$ is a rational equation but $…

02:04

In $3-10,$ tell whether each represents a number that is rational, irrationa…

02:25

In $3-14,$ determine whether each of the numbers is rational or irrational.<…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.