Question

Find a cubic polynomial with the
sum, sum of the product of it zeroes
taken two at a time, and product of its zeroes as 2, -41 and 42 respectively.​

Answer 1

Answer:

Let the zeroes be α, β and γ. Then, we have α + β + γ = 2 αβ + βγ + γα = – 7 and αβγ = – 14 Now, required cubic polynomial Sox3 – 2x2 – 7x + 14 is the required cubic polynomial.Read more on Sarthaks.com - https://www.sarthaks.com/921762/find-cubic-polynomial-with-zeroes-sum-the-products-its-zeroes-taken-two-time-product-zeroes

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