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Question

If x + 2 is a factor of x2 + mx + 14, then m =
(a) 7
(b) 2
(c) 9
(d) 14

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Solution

As (x + 2) is a factor of x2 + mx + 14

Therefore, f(-2) = 0 (Factor Theorem)

(-2)2 + m (-2) + 14 = 0
4 -2m +14 = 0
2m = 18
m = 9

Hence, the correct option is (c).


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