If the product of zeroes of the polynomial $a x^{2} - 6 x - 6$ is $4$ , find the value of $a$ .

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Solution

Given polynomial:- $a x^{2} - 6 x - 6$
$a = a, b = - 6, c = - 6$

Product of zeroes $= 4 (Given)$

As we know that, for a quadratic polynomial-
Product of zeroes $= \frac{c}{a}$

$∴ \frac{c}{a} = 4$
$\Rightarrow \frac{- 6}{a} = 4 \Rightarrow a = \frac{- 6}{4} = \frac{- 3}{2}$

Hence, this is the answer.

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