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

Determine the nand gate, Find out the two inputs when the NAND gate output ...

Find out the two inputs when the NAND gate output will be low. Ans. The output of NAND gate will be low if the two inputs are 11. The Truth Table of NAND gate is shown

Difference between absolute and relative in the definition, Difference betw...

Difference between absolute and relative in the definition Now, let's talk a little bit regarding the subtle difference among the absolute & relative in the definition above.

Tristansmath, how do i multiply demencinals

how do i multiply demencinals

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

common divisors greater than one, Let R be the relation on Z + defined by...

Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri

Credit and invoice, mr ouma bought two sets of spanners for sh 300per set ...

mr ouma bought two sets of spanners for sh 300per set two machanic vice at sh 1000each three set of screw driver at sh 115 per set and tool box for sh 300

Geometry, find the value of 0 that makes cos 21 degrees = sin 0 statement t...

find the value of 0 that makes cos 21 degrees = sin 0 statement true.

Find out the tangent line to the parametric curve, Find out the tangent lin...

Find out the tangent line(s) to the parametric curve specified by X = t5 - 4t3 Y = t2 At (0,4) Solution Note that there is actually the potential for more than on

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