Question

Which expression

x³ + 2x²-9x - 18
is a factor of this polynomial?
A. (x - 2)
B. (x - 6)
C. (x + 1)
D. (x + 2)

Answer 1

Answer: (x + 2).

Explanation:

To determine whether an expression is a factor of a polynomial, we can use synthetic division. Here's the synthetic division for this problem with (x + 2) as the divisor:

-2 | 1 2 -9 -18

|-2 0 18

|__________

1 0 -9 0

Since the remainder is 0, we know that (x + 2) is a factor of the polynomial. Therefore, the answer is (D) (x + 2).