Factoring out a common monomial factor, Mathematics

Assignment Help:

Factoring Out a Common Monomial Factor?

Say you have a polynomial, like

3x4 y - 9x3 y + 12x2 y2 z

and you want to factor it. Your first step is always to look for the common monomial factor. Here's how you do it.

Step 1. : Find the greatest common factor of all the coefficients. In this example the greatest common factor of 3, -9, and 12 is 3. Factor that number out of each term:

3(x4y - 3x3y + 4x2 y2 z)

Step 2. :  Look at the powers of the variables. Take x, for example. In the three terms of the polynomial, the powers of x are 4, 3, and 2. So if you want to factor out some x's from every term, the most you can factor out is 2 of them (in other words, factor out x2 .)

In this example, you can also factor out a y (but only one). You can't factor out any z's, because z does not appear in every term. So here's your factorization:
3x2 y(x3 -3x + 4yz)


Related Discussions:- Factoring out a common monomial factor

Quan. literacyprofiency, 3.20 euros per kilogram, 1 kilogram =2.2 pounds an...

3.20 euros per kilogram, 1 kilogram =2.2 pounds and current exchange rate is $1=0.9 euros. what is the price per pound?

Math, Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) quest...

Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) question..

Geometry, how to find the sum of the measure of the interior angles of each...

how to find the sum of the measure of the interior angles of each convex polygon

Determine the direction cosines and direction angles, Determine or find out...

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)

Devision, how many times can u put 10000 into 999999

how many times can u put 10000 into 999999

Progressions, * 2^(1/2)*4^(1/8)*8^(1/16)*16^(1/32) =

* 2^(1/2)*4^(1/8)*8^(1/16)*16^(1/32) =

Mutually exclusive events, Mutually Exclusive Events A set of events i...

Mutually Exclusive Events A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for i

Determine the fraction of the time, Ipswich has two ambulances. Ambulance 1...

Ipswich has two ambulances. Ambulance 1 is based at the local college and ambulance 2 is based downtown. If a request for an ambulance comes from the local college, the college-bas

Word problems, A patient will receive hemodialysis for 2.5 hours. The amoun...

A patient will receive hemodialysis for 2.5 hours. The amount of fluid removed per hour is 1.4 liters. The total amount removed in liters, will be

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd