If the product of zeros of the polynomial f(x) = ax3 –6x2 + 11x – 6 is 4, then a =
Given;
Polynomial = ax3 –6x2 + 11x – 6
Let a,b,c be the zeroes of f(x) = ax3 –6x2 + 11x – 6
Product of the zeroes = – (constant term)/coefficient of x3
4 = – ( – 6)/a
4 = 6/a
4a = 6
a = 6/4
a = 3/2