Question

If a and 3 are the zeroes of a quadratic polynomial such that alpha +beta = 24 and alpha-beta= 8. Find the quadratic polynom
having alpha and beta as its zeroes.​

Answer 1

Step-by-step explanation:

~Alpha~ +beta =24

~Alpha~ -beta =8

Subtract both equations

2beta=24-8=16

Beta =16/2=8

Alpha =24-8=16

Therefore the equation is

(X-8)(x-16)=0

Therefore the equation is x²-24x+128