Question

find a quadratic polynomial whose zeroes are alpha and beta satisfying alpha + beta = 3 and alpha - beta = -1​

Answer 1

Answer:

X2-3X+2

Step-by-step explanation:

1. let the zeroes be U and V
2. given that U+V=3 andU-V=-1

by solving ,

U+V=3

U-V=-1

we get,

U=1 and V=2

3.by quadratic formula

X2-(U+V)X+UV

=X2-(1+2)X+(1×2)

=X2-3X+2