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

Calculate the average return, A department store faces a decision for a sea...

A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg

Define a complete lattice, Define a complete lattice and give one example. ...

Define a complete lattice and give one example. Ans:  A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound

Real numbers, prove root 2 as irrational number

prove root 2 as irrational number

What is perfect squares, What is Perfect Squares ? Any number that can ...

What is Perfect Squares ? Any number that can be written as an integer to the power of two is called a perfect square. For example, 4 can be written as 2 2 4 is a "perfect sq

Rental car agency has 50 cars, Rental car agency has 50 cars. Rental rate i...

Rental car agency has 50 cars. Rental rate in winter is 60%. What is probability that in give winter month the rental rate is fewer than 35 cars rented? Use normal distribution to

Constructing a dfa/nfa or a regex), Let ∑ = (0, 1). Define the following la...

Let ∑ = (0, 1). Define the following language: L = {x | x contains an equal number of occurrences of 01 and 10} Either prove L is regular (by constructing a DFA/NFA or a rege

Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like

Assignment help, How do get help with my work? should i just type it in thi...

How do get help with my work? should i just type it in this box...? sorry thanks!

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