Question

if x+2 is a factor of x2+mx+14 find the value of m

Answer 1

firstly, we will divide x2 + mx + 14 by x+2

when we divide them remainder comes to be 18-2m........1

since x+2 is a factor of x2 + mx + 14

therefore remainder should be zero......2

from 1 and 2

18 - 2m = o

2m = 18

m = 9