If x + 2 is a factor of x2 + mx + 14, then m = A. 7 B. 2 C. 9 D. – InterviewSolution

1.

If x + 2 is a factor of x2 + mx + 14, then m = A. 7 B. 2 C. 9 D. 14

Answer»

f (x) = x² + 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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