Question

If a and b are the zeroes of the quadratic polynomial 6x2+5x-6, form a quadratic polynomial whose zeroes are 2a and 2b.guys here a=alpha, b=beta

Answer 1

6x²+5x-6=0
by spitting the middle term
so,
6x²+9x-4x-6=0
3x(2x+3)-2(2x+3)=0
3x-2=0 and 2x+3=0
x=2/3 and x= -3/2
alpha=2/3 and beta= -3/2
so, sum of zeroes = 2/3-3/2
=4-6/6
= -2/6
= -1/3
and product of zeroes =2/3×-3/2
= -6/6
= -1
To form polynomial
x²-(sum of zeroes)x+product of zeroes=0
x²-(-1/3)x-1=0
x²+1/3x-1=0 or 3x²+x-3=0
I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

Answer 2

Answer:

here is your answer