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

Rocks and minerals, question..how do u understand thr rock cycle

question..how do u understand thr rock cycle

Dot product - vector, Dot Product- Vector The other topic for discu...

Dot Product- Vector The other topic for discussion is that of the dot product.  Let us jump right into the definition of dot product. There is given that the two vectors a

How many years will it take him to pay off the loan, Joe took out a car loa...

Joe took out a car loan for $12,000. He paid $4,800 in interest at a rate of 8% per year. How many years will it take him to pay off the loan? Using the easy interest formula I

Find the largest clique, Generate G(1000,1/2) and find the largest clique ...

Generate G(1000,1/2) and find the largest clique you can.  A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.

What is multiplying fractions, What is Multiplying Fractions ? The rule...

What is Multiplying Fractions ? The rule for multiplying fractions is to "multiply across": Multiply the numerators to get the numerator of the answer. Multiply the den

Minimum and maximum values, Minimum and Maximum Values : Several applicati...

Minimum and Maximum Values : Several applications in this chapter will revolve around minimum & maximum values of a function.  Whereas we can all visualize the minimum & maximum v

Determine the length of the diagonal, A box is 30 cm long, 8 cm wide and 12...

A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth. a. 34.5 cm b. 32.1 cm c. 35.2 cm d. 33.3 cm

How many multiplication required to calculate matrix product, (a) Assume th...

(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m

Possible outcome of a coin - probability based question, A coin is tossed t...

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event,  both head and tail have appeared , and B be the event at most one tail i

Array -categories of multiplication, Array - when items are arranged in a ...

Array - when items are arranged in a regular rectangular pattern of rows and columns, counting how many there are. (e.g., if there are 3 rows of 5 girls each, how many girls are t

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