Find a quadratic polynomial having a and ß, Mathematics

Assignment Help:

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.                                                                                                                                  (Ans: k(x2- 24x + 128))

Ans:    α+β = 24

         α - β = 8

         -----------

          2α = 32

α = 32/2 = 16, ∴ α = 16

Work the same way to α+β = 24

So, β = 8

Q.P is x2 - (sum) x + product

= x2 - (16+8) x + 16 x 8

Solve this,

it is k (x2 - 24x + 128)


Related Discussions:- Find a quadratic polynomial having a and ß

Net Present Value, A business has the opportunity to expand by purchasing ...

A business has the opportunity to expand by purchasing a machine at a cost of £80,000. The machine has an estimated life of 5 years and is projected to generate a cashflow of £20,0

Algorithm for division, Also, their inability to apply the algorithm for di...

Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n

Run a chi-square test, Download the data on Gas Mileage.  This is a sample ...

Download the data on Gas Mileage.  This is a sample of 81 passenger cars with information about gas consumption and other technical details.     a.        Estimate the following

Problem Solving, Max can paint a house in 3 hours. Saria can paint a house...

Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?

Operation research, interestind topic in operation research for doing proje...

interestind topic in operation research for doing project for msc mathematics

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

Sum, i want to trick to know how can i fastest calculate more than compute...

i want to trick to know how can i fastest calculate more than computer

Julie had $500 how much money did julie spend, Julie had $500. She spent 20...

Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim

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