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

Explain basic concepts of parallel lines, Explain Basic Concepts of Paralle...

Explain Basic Concepts of Parallel Lines ? Parallel lines are defined in section 1.2 and we use "//" to denote it. From the definition, we can get the following two consequenc

Find extrema & relative extrema f ( x ) = x3 on [-2, Recognizes the absolut...

Recognizes the absolute extrema & relative extrema for the given function.                                                    f ( x ) = x 3      on        [-2, 2] Solution :

Evaluate integrals (1 - (1 /w) cos (w - ln w) dw, Evaluate following integr...

Evaluate following integrals.                       ( (1 - (1 /w) cos (w - ln w) dw Solution In this case we know how to integrate only a cosine therefore let's makes th

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Vector, with t =[a b c] construct a matrix A = 1 1 1 ...

with t =[a b c] construct a matrix A = 1 1 1 a b c a^2 b^2 c^2 a^3 b^3 c^3 using vector operations

Multiplication of two like terms with same signs, Case 1: Suppose we...

Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1  ( Therefore, x m . x n = x m +

Explain the graph of an equation and graph of an inequality, Explain The Gr...

Explain The Graph of an Equation and The Graph of an Inequality ? Here is the graph of the equation y = x. Notice that for every point along the line shown in the graph, the y

Factoring, how are polynomials be factored/?

how are polynomials be factored/?

Math, what is 24566x12567=

what is 24566x12567=

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