A polynomial in x whose zeros are -2, -1 and 3 is

A polynomial in x whose zeros are -2, -1 and 3 is

Correct Answer: Option D

Explanation

x = -2, x = -1 and x = 3
∴x+2 = 0, x+1 = 0 and x-3 = 0
Product of the factors
(x+2)(x+1)(x-3) = 0
(x² + 3x + 2)(x-3)
x(x² + 3x + 2) -3(x² + 3x + 2) = 0
x³ + 3x² + 2x – 3x² – 9x – 6 = 0
x³ – 7x – 6 = 0