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

Divisiblety test, find the greater value of a and b so that the following e...

find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a

VECTORS, OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T...

OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T IS ON OQ SUCH THAT OT: TQ= 1:2 PROVE THAT QRST IS AA PARALLEGRRAM

Find the least number that is divisible by all numbers, Find the  leas...

Find the  least  number that  is  divisible by all  numbers between 1  and  10  (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2  × 2

Find the value of a+b, If A, B are acute angles and sinA= cosB, then find t...

If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans:    A + B = 90 o

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

Parent, Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbl...

Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbles as Sam?

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