Question

find the quadratic polynomial whose sum and product of zeroes are -3,2 respectively

Answer 1

Hii friend,

Let alpha and beta are the zeros of the polynomial.

Sum of zeros = (Alpha+ Beta) = -3

And,

Product of zeros = (Alpha × Beta) = 2

Therefore,

The required polynomial = X²-(Alpha+Beta)X+Alpha×Beta

=> X²-(-3)X+2

=> X²+3X+2

Hence,

The polynomial = X²+3X+2.

HOPE IT WILL HELP YOU.... :-)