Question

find the quadratic polynomial whose zeros are - 3 and 4

Answer 1

sum of zeros =-3+4=1,

product of zeros =-3x4=-12

Required polynomial =x2-x-12

Answer 2

let -3 = a and 4 = b

a quadratic equation is equal to

x^2 - (a+b)x + ab

so,

x^2 - ( -3 + 4 )x + -3X4

x^2 -x -12 is the required anwer