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

Method of reduction of order, Consider the equation x 2 y′′+ xy′- y = 4x...

Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second

Power rule, Power rule: d(x n )/dx = nx n-1 There are really three ...

Power rule: d(x n )/dx = nx n-1 There are really three proofs which we can provide here and we are going to suffer all three here therefore you can notice all of them. T

Reduction of order, We're here going to take a brief detour and notice solu...

We're here going to take a brief detour and notice solutions to non-constant coefficient, second order differential equations of the form. p (t) y′′ + q (t ) y′ + r (t ) y = 0

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Line plots, how to you find the difference between different line plots

how to you find the difference between different line plots

Estimate the rms value and prominent features, Figure shows the auto-spect...

Figure shows the auto-spectral density for a signal from an accelerometer which was attached to the front body of a car directly above its front suspension while it was driven at 6

Theorem of continuous functions, Consider the subsequent IVP. y' = f(t,y...

Consider the subsequent IVP. y' = f(t,y) ,        y(t 0 ) = y 0 If f(t,y) and ∂f/∂y are continuous functions in several rectangle a o - h o + h which is included in a

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