Q. 113.7( 3 Votes )

# If *x*+2 is a factor of x^{2}+*mx*+14, then *m* =

A. 7

B. 2

C. 9

D. 14

Answer :

f (x) = x^{2} + mx + 14

Since, (x +2) is a factor of f (x), so

f (-2) =0

(-2)^{2} + m (-2) + 14 = 0

18 - 2m = 0

m = 9

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