Question

Write a quadratic polynomial the sum and product of whose zeroes are 5 and -2 respectively is

Answer 1

Let A and B be the sum and products of the zeros.
Sum of zeros, A + B=5
Product of zeros, A.B= - 2

Answer 2

sum of roots = 5 -2=3
product of roots = -10
required quadratic polynomial= x2 -3x -10