Question

if alpha and beta are 0s of a quadratic polynomial x^2-x-30 the form of a quadratic polynomial whose 0s are 2-alpha and 2-beta

Answer 1

Frst we have to find zeroes of the eqn

x^2-x-30=0

So

b^2-4ac=D^2

1-(-120)=D^2

1+120=D^2

So D=11

Now value of alpha and beta will be

-b±rootD/2a

1±11/2

So we get

Alpha =6 and beta =-5

So polynomial whose zeroes are 2 alpha and 2 beta will be

Alpha =2×6=12

Beta=2×-5=-10

WE know that

Eqn = x^2-(alpha+beta)x+alpha×beta

So x^2-2x-120

Hope it will help u