Question

Find a quadratic polynomial P(y) whose sum and product of zeroes are 3 and - 1/3 respectively.

Answer 1

Hey there!

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Let alpha ( @ ) and ( ß ) be zeroes of the quadratic polynomial.

Then ,

Sum of zeroes ( @ + ß ) = 3
Product of zeroes ( @ × ß ) = - 1 / 3

We have a formula to form a quadratic polynomial - :

x^2 - ( @ + ß ) x + @ß = 0

[Keeping the values in]

x^2 - ( 3 ) x + (-1/3)

x^2 - 3x - 1/3 <= Answer!


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Hope it helps...!!!