Question

Find the quadratic polynomial sum of whose zeroes is and their product is 1
Hence find the zeros of the polynomial​

Answer 1

Answer:

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Step-by-step explanation:

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