Question

Find a cubic polynomial with the sum of the products of its zeroes taken two at a time a product of its zeroes as 5,-6and -20 respectively​

Answer 1

✔QUESTION

Find a cubic polynomial with the sum of the products of its zeroes taken two at a time a product of its zeroes as 5,-6and -20 respectively.

✔ANSWER

⟹ Since the sum of roots = 2

⟹ Sum of product roots taken at time = - 7

⟹ Product of roots = 2,−7,−14 respectively.

⟹ Hence, the answer is x3−2x2−7x+14.

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