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

Parallelogram, The base and corresponding altitude of a parallelogram are 1...

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side

Division of two like terms, Case 1: Suppose we have two terms 8ab and 4ab. ...

Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the

Word problem solving, the traffic light at three different road crossing ch...

the traffic light at three different road crossing change after every 48 seconds, 72 seconds and 108 seconds respectively. if they change simultaneously at 7 a.m., at what time wil

Evaluate the slope of the line, Evaluate the slope of the line: Examp...

Evaluate the slope of the line: Example: What is the slope of the line passing through the points (20, 85) and (30, 125)? Solution:            m = 125 -85/30-20 = 4

Coefficient of correlation denoted, Coefficient of Correlation Denoted ...

Coefficient of Correlation Denoted There are two methods which measure the degree of correlation among two variables these are denoted by R and r. (a) Coefficient of correl

Use the power function to find derivative, Given, y = f(x) = 2 x 3 - 3x 2 ...

Given, y = f(x) = 2 x 3 - 3x 2 + 4x +5 a)  Use the Power function to find derivative of the function. b)  Find the value of the derivative at x = 4.

staticis, a statisics professor plans classes so carefully that the length...

a statisics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. find the probability that a given class pe

Conduct an appropriate hypothesis test, Aspire LLP is a recruitment agency....

Aspire LLP is a recruitment agency. Recently, the company senior manager, Kay conducted a survey to understand the number of hours students spend daily on their studies after schoo

Illustrate median with example, Q. Illustrate Median with example? Ans...

Q. Illustrate Median with example? Ans. The median of a data set is the middle value (or the average of the two middle terms if there are an even number of data values) wh

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