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Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a

time, and the product of its zeroes as 2, –7, –14 respectively.

Mathematics - Mathematics



We know that a cubic polynomial is of the form :-
k[x³ - x²(sum of zeroes) + x(sum of the product of the zeroes taken two at a time) - (product of the zeroes)]  where k is any non zero number.

Therefore, we have k[x³- 2x² - 7x + 14]

Hope that helps !!
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