Question

Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.

Answer 1

No

Explanation:

Use synthetic division

-5 | 1 -4 3 7

____-5 45 -240

1 -9 48 | -233

Since the remainder is not 0, then x+5 is not a factor of the polynomial