Question

Example 28. Find cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 5, -7, -14 respectively.

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Answer 1

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.Read more on Sarthaks.com - https://www.sarthaks.com/921775/find-cubic-polynomial-with-the-sum-its-zeroes-sum-products-its-zeroes-taken-two-time-product