Q. 15 B

Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

Answer :

Let the zeroes be α, β and γ.

Then, we have

Now, required cubic polynomial

So, 6x3 + 24x2 + 3x – 2 is the required cubic polynomial which satisfy the given conditions.

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