Question

find a cubic polynomial with the sum ,sum of products of its zeros taken two at a time, and the product of its zeros as 2,-7,-14 respectively.​

Answer 1

Answer:

the roots will be 1, 2, -7

so the polynomial is

(x-1) (x-2) (x+7) =0

= (x²-3x+3) (x+7) =0

= x³-3x²+3x +7x²-21x+21= 0

=x³+4x²-18x+21 = 0

this is the required polynomial