Question

if ax^2+9x+15 is a quadratic polynomial and product of zeros is -6 then find the value of a

Answer 1

Answer:

HEY MATE HERE IS YOUR ANSWER :

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

Step-by-step explanation:

As we know that,

$\alpha \: \: and \: \: \beta \: are \: the \: roots \: of \: \\ quadratic \: \: equation$

On comparing the given quadratic equation,

we get

a = ? , b = 9, c = 15

The product of their roots is –6

$\alpha \times \beta = - 6$

$= > \alpha \times \beta = \frac{c}{a}$

$= > \: \: - 6 \ \: \: = \frac{15}{a}$

$= > \: \: \: a = - \frac{15}{6}$

$= > \: \: \: a = - \frac{5}{2}$

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