Given that (2x + 7) is a factor of (2x^2 + 3x – 14), find the other factor
-
A.
x + 2 -
B.
2 – x -
C.
x – 2 -
D.
x + 1
Correct Answer: Option C
Explanation
(2x^2 + 3x – 14)
(2x^2 + 7x – 4x – 14)
(x(2x + 7) – 2(2x + 7))
= ((x – 2)(2x + 7))
The other factor = (x – 2).