Question

If the product of zeroes of the polynomial f(x)=ax2+6x2+11x-6is 4 then a=

Answer 1

Answer:

a = 3/2 = 1.5

Explanation:

Let α, β and γ be the zeroes of the polynomial f(x)

Given that,

f(x) = ax³ + 6x² + 11x - 6

We know that,

αβγ = -d/a

Given that,

αβγ = 4

d = -6  => -d = 6

a = a

Substituting all these in te equation αβγ = -d/a

4 = 6/a

a = 6/4 = 3/2

a = 3/2