Question

If alpha and beta are the zeros of the polynomial 6x square - 7 x minus 3 then form a quadratic polynomial whose zeros are 2 alpha and 2 beta

Answer 1

Answer:

p (x)=6 xsquare _ 7x _ 3

a=6 ;b=_7 ; c=_3

alpha+beta =_b/a

=_(_7/6)=7/6

alpha×beta = c/a

_3/6 =_1/2

given the zeros: 2alpha and 2beta

2alha+2beta= 2(alpha+beta)

2 ×7/6= 14/6=7/3

2alpha×2beta=4alpha beta = 4×_1/2=_2

k(xsquare_(alpha +beta)x+ alphabeta

therefore k (xsquare +7/3x_2)

hope it helps u all