Question

if α andβ are the zeroes of the polynomial 25x^2-15x+2, find α quadratic polynomial whose zeroes are1/α and 1/β.​

Answer 1

Answer:

We have,

Polynomial 25p

2

−15p+2

On comparing that,

Ap

2

+Bp+C

Then,

A=25,B=−15,C=2

Given that,

Sum of roots

=α+β=

A

−B

α+β=

25

15

α+β=

5

3

Product of roots

α.β=

A

C

α.β=

25

2