Question

find a cubic polynomial with the sum , sum of product of it's zero's taken two at a time and product of it's zero's as 2,-7,-14 ?​

Answer 1

Step-by-step explanation:

Let the polynomial be ax3 + bx2 + cx + d and the zeroes be α, β and γ Then, α + β + γ = -(-2)/1 = 2 = -b/a αβ + βγ + γα = -7 = -7/1 = c/a αβγ = -14 = -14/1 = -d/a∴ a = 1, b = -2, c = -7 and d = 14 So, one cubic polynomial which satisfy the given conditions will be x3 - 2x2 - 7x + 14