Question

find the quadratic polynomial whose sum and product of zero are 5 and 3/2
respectively​

Answer 1

Answer:

Let alpha and beta are the zeros of the polynomial.

Sum of zeros = (Alpha+ Beta) =5

And,

Product of zeros = (Alpha × Beta) =  3/2

Therefore,

The required polynomial = X²-(Alpha+Beta)X+Alpha×Beta

=X²-5X+3/2=0

=2X²-10X+3=0

Step-by-step explanation:

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Answer 2

Answer:

sum of zeroes=α+β = 5

product of zeroes=αβ=3/2

required polynomial =k{ x²-(α+β)x+(αβ)}

=k(x²-5x+3/2)

let k=2

required polynomial = 2x²-10x+3