Question

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

Answer 1

Answer:

Answer is C) 9

By x=-2

Apply this to get answers

Answer 2

❥${\red{\underline{\huge{\mathbb{Solution:-}}}}}$

(x+2) is a factor of x²+mx+14=0

$x + 2 = 0 \\ = > x = - 2$

put the value of x=-2 in the equation.

${x}^{2} + mx + 14 = 0 \\ = > {( - 2)}^{2} + m( - 2) + 14 = 0 \\ = > 4 - 2m + 14 = 0 \\ = > - 2m + 18 = 0 \\ = > - 2m = - 18 \\ = > 2m = 18 \\ = > m = 9$

So, your answer is (C)9.