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

Iceviga, Jess had a book with 100 pages to read she only read 10 how many p...

Jess had a book with 100 pages to read she only read 10 how many pages does she have to read?

determine that the relation is symmetric and transitive, 1. Let R and S be...

1. Let R and S be relations on a set A. For each statement, conclude whether it is true or false. In each case, provide a proof or a counterexample, whichever applies. (a) If R

Solving an equation using multiplication and division, Solving an equation ...

Solving an equation using Multiplication and Division       A variable is a symbol that represents a number. Usually we use the letters like n , t , or x for variables. For

Where is the bus in relation to the hotel, A bus picks up a group of touris...

A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat

Fibonacci number, 1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2...

1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.

Hyperboloid of one sheet - three dimensional spaces, Hyperboloid of One She...

Hyperboloid of One Sheet The equation which is given here is the equation of a hyperboloid of one sheet. x 2 /a 2 + y 2 /b 2 - z 2 /c 2 = 1 Here is a diagram of a com

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Example of adding signed numbers, Example of Adding signed numbers: E...

Example of Adding signed numbers: Example: (2) + (-4) =      Solution: Start with 2 and count 4 whole numbers to the left. Thus: (2) + (-4) = -2 Adding

What are the angles of depression from observing position, In Figure, what ...

In Figure, what are the angles of depression from the observing positions O 1 and O 2 of the object at A?

Opening Account, I am expert in mathematics. How i open my expert account?

I am expert in mathematics. How i open my expert account?

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