Question

If the product of zeroes of the quadratic polynomial, 3

2 − 9 + is 12, then find the value of k.


please solve it​

Answer 1

Step-by-step explanation:

Zeros of a quadratic equation are its roots.

Comparing f(x)=x

2

−4x+k with the standard equation f(x)=x

2

+px+q,

we get,

p=−4

q=k

if α & β are the roots of the given quadratic equation,

α+β=−p

α×β=q

but,

α×β=3 {given}

∴k=3