Completely factored polynomial, Mathematics

Assignment Help:

Factoring polynomials

Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynomial. Then we try to factor each of the terms we found in the first step. This continues till we just can't factor anymore.

Completely factored polynomial

 While we can't do any more factoring we will say that the polynomial is completely factored.

Here are some examples.

x2 -16 = ( x + 4) ( x - 4)

 

It is completely factored as neither of the two factors on the right can be factored further.

Similarly

                      x4 -16 = ( x2 + 4)( x2 - 4)

is not completely factored as the second factor can be factored further.  Notice that the first factor is completely factored.  Here is the complete factorization of this polynomial.

                                             x4 -16 = ( x2 + 4)( x + 2)( x - 2)

The reason of this section is to familiarize ourselves along several techniques for factoring polynomials.


Related Discussions:- Completely factored polynomial

Multiplication and division , In multiplication and division we have 1) ...

In multiplication and division we have 1) Suggested ways of conveying the meaning of multiplication and division to children. These operations have to be taught as an activit

Define number line, Q. Define Number Line? Ans. A number line is a...

Q. Define Number Line? Ans. A number line is a nice way to visualize and examine the ordering of the positive and negative numbers. Every positive and negative number that

Example of infinite interval - improper integrals, Evaluate the subsequent ...

Evaluate the subsequent integral. Solution This is an innocent enough looking integral. Though, because infinity is not a real number we cannot just integrate as norm

Similar triangles, S IMILAR TRIANGLES : Geometry  is  the  right  ...

S IMILAR TRIANGLES : Geometry  is  the  right  foundation  of all  painting,  I have  decided to  teach its  rudiments  and  principles  to  all  youngsters  eager for  ar

Trignometry, how to find value of cos20 without using calculator

how to find value of cos20 without using calculator

Matrix equation , Hi may i know how to substract the (ID)colum matrix from ...

Hi may i know how to substract the (ID)colum matrix from (K)square matrix as per equation below. E = (K - ID)^-1 S K is m*m matrix I is idntity matrix d is column vector s is col

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Triangles, if A be the area of a right triangle and b be one of the sides c...

if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2

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