Factoring polynomials with higher degree, Mathematics

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  


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.

Posted Date: 4/6/2013 2:49:46 AM | Location : United States

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