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

Some important issue of graph, Some important issue of graph Before mov...

Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.

Absolute convergent, Find out if each of the subsequent series are absolute...

Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser

Adding & subtracting i guess, Jack and his mother paid $11.50 for tickets t...

Jack and his mother paid $11.50 for tickets to the movies, and adults tickets cost $4.50 more than a child ticket what was the cost of each ticket?

Applications of markov chains in business, please help me in my assignment,...

please help me in my assignment, explain Applications of Markov Chains in Business.

Theorem on intervals of validity, Theorem Consider the subsequent IVP....

Theorem Consider the subsequent IVP. y′ =  p (t ) y = g (t )  y (t 0 )= y 0 If p(t) and g(t) are continuous functions upon an open interval a o , after that there i

Union of sets, Union of Sets Venn diagram presenting the union of sets...

Union of Sets Venn diagram presenting the union of sets A and B or A?B = Shaded area is demonstrated below: A ?B = Shaded area

Application of probability in business, Application of Probability in Busin...

Application of Probability in Business 1. Business games of chance for illustration, Raffles Lotteries. 2. Insurance firms: this is generally done when a new client or prop

Concrete to abstract-how mathematical ideas grow, Concrete to Abstract :  ...

Concrete to Abstract :  Mathematics, like all human knowledge, grows out of our concrete experiences. Let us take the example of three-dimensional shapes. Think about how you came

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