We have the next function
[tex]f(x)=3x^3+4x^2-x+9[/tex]Direct Substitution
for x=-2
[tex]f(-2)=3(-2)^3+4(-2)^2-(-2)+9=3[/tex]Synthetic Substitution
for x=-2
-2 | 3 4 -1 9
-6 4 -6
______________
3 -2 3 3
the result is 3, the result is given by the bold number
the ordered pair is
(-2,3)