Question

If the product of the zero of the polynomial `(ax^2 - 6x - 6)` is 4. Find the value of a.

Answer 1

Let `alpha and beta` be the zeros of the polynomial `(ax^(2) - 6x - 6)`.
Then, alpha beta =` ("constant term ")/("coefficient of " x^(2)) = (-6)/a.`
But, `alpha beta = 4` (given).
Hence, ` a=(-3)/2.`