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
If the expression 9y - 5 represents a certain number, which of the following could NOT be the translation? a. five less than nine times y b. five less than the sum of 9 and y c

compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?

Implement an immutable data type Rational for rational numbers that supports addition, subtraction, multiplication and division. public class Rational Ration

A reliability system consists of 15 independent components. The probability that a component works is 0.9 for each. The system works if at least 11 of the components work. Fi

can you help me learn faster in school

From a sheet of cardboard in the shape of a square of side 14 cm, a piece in the shape of letter B is cut off. The curved side of the letter consists of two equal semicircles & the

Question: a. What is the inverse of f (x)? b. Graph the inverse function from part (a). c. Rewrite the inverse function from part (a) in exponential form. d. Evaluate

what is product life cycle

A small airplane used 5and2over3 gallons of fuel to fly a 2 hour trip.how many gallons were used each hour

Describe differance between Mean vs. Mode ? Every set of numbers or data has a mean and a mode value. The mean is the average value of all the numbers in the set. The mode is t