Question

Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.

Answer 1

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112