Factoring polynomials with higher degree, Mathematics

Assignment Help:

Factoring Polynomials with Degree Greater than 2

There is no one method for doing these generally.  However, there are some that we can do so

let's take a look at a some examples.

Example : Factor each of the following.

                 A)3x4 - 3x3 - 36x2

                  B)     X4-25  

Solution

A)3x4 - 3x3 - 36x2

In this question let's notice that we can factor a common factor of 3x2 from all of the terms thus let's do that first.

3x4 - 3x3 - 36x2  = 3x2 ( x2 - x -12)

What is left is a quadratic which we can employ the techniques from above to factor.  Doing this gives us,

3x4 - 3x3 - 36x2  = 3x2 + x - 4= (x + 3)

Don't forget that the FIRST step to factoring must always be to factor out the greatest common factor. It can only help the procedure.


Related Discussions:- Factoring polynomials with higher degree

Area between two curves, Area between Two Curves We'll start with the ...

Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b].  We will also suppose that f(x) ≥ g(x) on [a,b].

Parallelogram, fig angles of a irregular polygons exterior and interior .

fig angles of a irregular polygons exterior and interior .

Progressions, The sum of the series 1+1/2+1/4,..is

The sum of the series 1+1/2+1/4,..is

Earth geometry, calculate the shortest distance between A and B 40degrees w...

calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north

Express the statement as a disjunction in dnf, State the following statemen...

State the following statement as a disjunction (in DNF) as well using quantifiers:      There does not exit a woman who has taken a flight on each airline in the world.

How many solutions are there for differential equation, If a differential e...

If a differential equation does have a solution how many solutions are there? As we will see ultimately, this is possible for a differential equation to contain more than one s

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

Numerical analysis, Please,I Want to know and study for stability on predi...

Please,I Want to know and study for stability on predictor -corrector for numerical integration method

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