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

Simultaneous linear equations (graphical method), Steps in solving graphica...

Steps in solving graphical method of simultaneous linear equations

What is the annual interest rate on an account in which earn, What is the a...

What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In

Find the probability, A bag contains 19 tickets, numbered from 1 to 19. A t...

A bag contains 19 tickets, numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement .Find the probability that both tickets will show even numb

Draw tangent graph y = tan ( x ), Graph y = tan ( x ). Solution In...

Graph y = tan ( x ). Solution In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x

Equal-sharing-categories of situations requiring division , Equal-sharing ...

Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti

Area and Perimeters, The top of the new rectangular Big Gig Thingamajig is ...

The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?

Slope of tangent line, Slope of Tangent Line : It is the next major interp...

Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,

What is the length of the longer base, The longer base of a trapezoid is th...

The longer base of a trapezoid is three times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the t

5th grader, my qustion is how do you muliply frations

my qustion is how do you muliply frations

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