Q. 15 D

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, 10x3 – 4x2 + x – 5 is the required cubic polynomial which satisfy the given conditions.

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