Question

find the cubic polynomial wiyh the sum of the product of its zeros taken two at a time , and the product of its zeros as 2 ,-7, -14

Answer 1

Let S1 be the sum of zeroes
S2 be the sum of zeroes take two at a time
and, P be the product

So, Polynomial is x³ -(S1)x² -(S2)x + (P)
                        = x³ -2x² +7x -14

Answer 2

From the question,

= x³ - (sum of zeroes)x² + (product of zeroes taken two at a time)x - (product
                                                                                                                        of zeroes)

= x³ - (2)x² + (-7)x - (-14)

= x³ - 2 x² - 7 x + 14
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