Question

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

Answer 1

x2 +( alpha + beta ) x -( alpha beta)
alpha = -3
beta = 2
x2 +(-3+2)x - (3×2)
x2 -x - 6

Answer 2

sum of zeroes = -3
product of zeroes = 2

Quadratic polynomial = x^2 (sum of zeroes) + (product of zeroes)

x^2 - (-3) + 2 =0