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  

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.

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







Related Discussions:- Factoring polynomials with higher degree, Assignment Help, Ask Question on Factoring polynomials with higher degree, Get Answer, Expert's Help, Factoring polynomials with higher degree Discussions

Write discussion on Factoring polynomials with higher degree
Your posts are moderated
Related Questions
what is the difference between North America''s part of the total population and Africa''s part

report on shares and dovidend using newspaer

Determine if the following sequences are monotonic and/or bounded. (a)   {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0

Triangle Treat is the page name. I don''t know the answer for it, can someone give it to me?

Forecasting Statistics is very significant for business managers while predicting the future of a business for illustration if a given business situation includes a independen

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p

Consider the finite state machine whose state transition table is : Draw the graph for it.  Ans: The graph for the automata according to the transition table is drawn b

Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I

A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid

A Solid toy in the form of a hemisphere surmounted by the right circular cone of height  2cm  and  diameter  of  the  base  4  cm .If  a right  circular  cylinder circumscribes the