Question

If x+2 is a factor of p(x), then m=Single choice.
p (x) = x² +mx + 14​

Answer 1

Given x+2 is a factor of x2+mx+14

Let p(x)=x2+mx+14

we know that if x−α is a factor of p(x) then p(α)=0

then

p(−2)=0

(−2)2+m(−2)+14=0

4+14−2m=0

2m=18

m=9