Question

if the product of zeroes ax²-6x-6 is 4, find the value of a. hence find the sum of its zeroes.

Answer 1

let the two zeros of polynomial are
$\alpha \: \: \beta \\ product \: of \: zeros \: \alpha \beta = \frac{ - 6}{a} = 4 \\ 4a = - 6 \\ a = \frac{ - 3}{2} \\ sum \: of \: zeros \: \alpha + \beta = \frac{ - b}{a} \\ \alpha + \beta = \frac{6}{ \frac{ - 3}{2} } = \frac{ - 12}{3} = - 4$
sum of zeros are -4