Question

Find the quadratic polynomial, the sum of whose zeros is 5/2 and their product is 1. Hence, find the zeroes if their polynomial.

Answer 1

Given :-
α + β = 5 / 2
αβ = 1
P(x) = x2 - ( α + β )x + αβ
P(x) = x2 - 5/2x + 1
P(x) = 2x2 - 5x + 2
P(x) = 0
2x2 - 5x + 2 = 0
2x2 - 4x - x + 2 = 0
2x ( x - 2 ) - 1 ( x - 2 ) = 0
( 2x - 1 ) ( x - 2 ) = 0
2x - 1 = 0  & x - 2 = 0
# x = 1 / 2  &  x = 2 are zeros of P(x) #

Hope it helps ..!!! please

Answer 2

Hope this helps you ☺