Quadratic Polynomial

Hello,

If we know the "SUM" and "PRODUCT" of zeroes of a quadratic polynomial then we can directly write its expression, which is given by :

f (x) = x²  - (sum of roots) x + ( product of roots)

Hence, for the 1st problem,

we can write our expression as:

Using the same concept in 2nd,

we can write

product of roots = -k

therfore, -6 x 3 = -k

or k =18.

Regards,

Topperlearning