Question

If ax^2-9+15 is quadratic polynomial and product of its zero is -6 find the value of a

Answer 1

$Compare \: given \: Quadratic \: polynomial \\ax^{2} - 9x + 15 , \:with \: Ax^{2} +Bx + C\: we \:get$

$A = a , \: B = -9 \:and \: C = 15$

$Product \:of \: zeroes = -6 \:(given)$

$\implies \frac{C}{A} = -6$

$\implies \frac{15}{a} = -6$

$\implies \frac{15}{-6} = a$

$\implies \frac{-5}{2} = a$

Therefore.,

$\red { Value \:of \:a } \green {= \frac{-5}{2}}$

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