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

Probability - applications of integrals, Probability - Applications of inte...

Probability - Applications of integrals In this final application of integrals that we'll be looking at we are going to look at probability.  Previous to actually getting into

Properties of t distribution, Properties of t distribution 1. The t di...

Properties of t distribution 1. The t distribution ranges from - ∞ to ∞ first as does the general distribution 2. The t distribution as the standard general distribution is

Subspace of r containing n, Give an example of each of the following given ...

Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of

Mrs, Distributive Property _x7=(3x7)+(2x_)

Distributive Property _x7=(3x7)+(2x_)

Derive expressions for the mean and variance, On each day t of n days, N cu...

On each day t of n days, N customers of a supermarket were sampled and the number Xt expressing dissatisfaction was recorded. The results suggested that there were good and bad day

find the ratio of their 11th terms, The  ratio of the sum of first n term...

The  ratio of the sum of first n terms of two AP's  is 7n+1:4n+27.  Find the ratio of their 11th  terms . Ans:    Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t

Area between curves, Area between Curves In this section we will be fi...

Area between Curves In this section we will be finding the area between two curves. There are in fact two cases that we are going to be looking at. In the first case we des

Find the number of zeros of the polynomial, Find the number of zeros of the...

Find the number of zeros of the polynomial from the graph given. (Ans:1)

What is stem-and-leaf plots, Q. What is Stem-and-Leaf Plots? Ans. ...

Q. What is Stem-and-Leaf Plots? Ans. A stem-and-leaf plot is a table that provides a quick way to arrange a set of data and view its shape, or distribution. Each data val

Construction , construct of tangents a circle from an external point when ...

construct of tangents a circle from an external point when its centre is not known

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