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प्रश्न
Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.
उत्तर
As we know that the quadratic polynomial
f(x) = k [x2 - (sum of their roots) x+(product of their roots)]
According to question,
(sum of their roots)`= 2sqrt3`
And (product of their roots) = 2
Thus putting the value in above,
`f (x) = k [x^2 - 2sqrt3x + 2 ]` where k is real number.
Therefore, the quadratic polynomial be
`f(x) = k [x^2 - 2sqrt3x + 2]`
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