Question

Determine which of the following polynomials has (x + 1) as a factor.

x³ – x² – (3 – √3)x + √3

Answer 1

f(- 1) = (- 1)³ – (- 1)² – (3 – √3)(-1) + √3 

= – 1 – 1 + 3 – √3 + √3 = 1 

∴ (x + 1) is not a factor.