Question

If one of the factor of x³-3x+m is x+2 , then find the value of m​

Answer 1

Answer:

Let p(x)=3x

2

+mx+6

If x+3 is a factor of p(x), then

p(−3)=0

p(−3)=3(−3)

2

+m(−3)+6=0

⇒3×9−3m+6=0

⇒27−3m+6=0

⇒3m=33

⇒m=11