Question

find the zero of polynomial the sum and product of whose zeroes are -3 and 2

Answer 1

alpha + beta = -3
alpha and beta =2



using k (x^2-(alpha + beta ) + alpha × beta)

x^2+3x+2

Answer 2

Let Zeroes be a and b respectively

we have, a+b = -3 and ab = 2

We know that quadratic polynomial is x²  - (a+b)x + ab

         Hence required polynomial = x² -(-3)x + 2 = x² + 3x + 2