For what value of a, the product of zeroes . . .

Question : For what value of a, the product of zeroes of the polynomial ax²-6x-12 is 4?

a) 6

b) 12

c) 2

d) -3

Doubt by Bhavya, Parth

Solution : 

ax²-6x-12

Here

a=a

b=-6

c=-12

Product of zeroes
αβ=4 (Given)

c/a=4

-12/a=4
-12/4=a

-3=a

a=-3

Hence, d) -3 would be the correct option.