Question

let alpha and beta are the zeroes of a quadretic polynomial 2x^2-5x-6 then form a qyadretic polynomial whose zeroes are alpha + beta and alpha.beta.

Answer 1

let alpha be a and beta be b

a+b=5/2,ab=-6/2=-3

sum (a+b)+ab=5/2–3=–1/2

product (a+b)ab=5/2×–3=–15/2

x²+1/2x–15/2=0

2x²+x–15=0