Question

write the quadratic polynomial whose sum of zeroes is -3 and sum of the squares of the zeroes is 17​

Answer 1

Step-by-step explanation:

given sum of roots is -3

let zeroes of polynomial be Alpha and beta respectively

alpha + beta is -3 ->(1)

alpha ^2 + beta ^2 = 17-(2)

square equation (1)

alpha square + beta square + 2 alpha.beta =9

17+2alpha.beta =9

alpha.beta is (9-17)/2