Question

x + 1 is a factor of x^5 + 4x^3 - 17x + 12. True or False

Answer 1

False.

If (x+1) is a factor of the polynomial, the polynomial must be divisible by (x+1).

In other words, when you divide the polynomial by (x+1), the remainder should be 0.

In this case, however, the remainder is 24.