Alg_Complete

Doing this gives us 3x 4 3x3 36 x 2 3x 2 x 4

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ut none of those special cases will be seen here. Factoring Polynomials with Degree Greater than 2 There is no one method for doing these in general. However, there are some that we can do so let’s take a look at a couple of examples. Example 5 Factor each of the following. (a) 3 x 4 - 3 x 3 - 36 x 2 [Solution] (b) x 4 - 25 [Solution] (c) x 4 + x 2 - 20 [Solution] Solution (a) 3 x 4 - 3 x 3 - 36 x 2 In this case let’s notice that we can factor out a common factor of 3x2 from all the terms so let’s do that first. 3 x 4 - 3x3 - 36 x 2 = 3x 2 ( x 2 - x - 12 ) What is left is a quadratic that we can use the techniques from above to factor. Doing this gives us, 3x 4 - 3x3 - 36 x 2 = 3x 2 ( x - 4 ) ( x + 3) Don’t forget that the FIRST step to factoring should always be to factor out the greatest common factor. This can only help the process. [Return to Problems] (b) x 4 - 25 There is no greatest common factor here. However, notice that this is the difference of two perfect squares. x 4 - 25 = ( x 2 ) - ( 5...
View Full Document

This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

Ask a homework question - tutors are online