Question

If a and B are the zeros of a quadratic polynomial such that a + B = 15 and a - B = 5, then
Find quadratic polynomial

Answer 1

Answer:

Explanation:

+β=24  

α−β=8

(α−β)  2  =(α+β)  

2  −4αβ=8 2    

or,24 2 −4αβ=64

or,4αβ=576−64=512

or,αβ=128

⇒x2  −(α+β)x+αβ=0

or,x2  −24x+128=0