If the product of zeros of the polynomial f(x) = ax^{3} –6x^{2} + 11x – 6 is 4, then a =

Given;

Polynomial = ax^{3} –6x^{2} + 11x – 6

Let a,b,c be the zeroes of f(x) = ax^{3} –6x^{2} + 11x – 6

Product of the zeroes = – (constant term)/coefficient of x^{3}

4 = – ( – 6)/a

4 = 6/a

4a = 6

a = 6/4

a = 3/2

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