Determine the zeroes of polynomials, Algebra

Assignment Help:

Example: determine the zeroes of following polynomials.

P ( x)= 5x5 - 20x4+5x3 + 50x2 - 20x - 40 = 5 (x + 1)2 ( x - 2)3

Solution

In this the factoring has been done for us.  Do not worries regarding factoring anything like this?  You won't be asked to perform any factoring of this type anywhere in this material. There are only here to make the point that the zero factor property works here as well. 

In this case we do have a product of 3 terms however the first is a constant and will not make the polynomial zero. So, from the last two terms it looks like the polynomial will be zero for x = -1 and x =2 .Thus, the zeroes of this polynomial are, x = -1 & x = 2


Related Discussions:- Determine the zeroes of polynomials

Quadratic equation, solve 4x2+12x =0by using quadratic formula

solve 4x2+12x =0by using quadratic formula

Polynomials, How many variables does 2x to the second -4x + 2 and what''s t...

How many variables does 2x to the second -4x + 2 and what''s the degree of this problem

Finding zeroes of a polynomial, Finding Zeroes of a polynomial The belo...

Finding Zeroes of a polynomial The below given fact will also be useful on occasion in determining the zeroes of a polynomial. Fact If P (x) is a polynomial & we know t

Greastest common factors, what is the greastest common factor of 16x^y^3and...

what is the greastest common factor of 16x^y^3and 12x

Apply linear algebra using extended abstract thinking, Hi everyone, needing...

Hi everyone, needing help with these math questions. Please include your workings out so I can understand how you got your answers,thanks! INTRO: Three friends have been training

College Math 136, A boy can row a boat at a constant rate of 5 mi/hr in sti...

A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 18 minutes and then rows downstream, returning to his starting p

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