Question

How do you use synthetic substitution to evaluate f(-2) for `f(x)=x^3-3x^2-x-9`?

Answer 1

`f(-2)= -27`

Explanation:

`f(x)=color(blue)(1)x^3color(blue)(-3)x^2color(blue)(-1)xcolor(blue)(-9)`
at `f(color(cyan)(-2))`

`{: (,,color(blue)(1),color(blue)(-3),color(blue)(-1),color(blue)(-9)), (,,,-2,10,-18), (,,"----","----","----","----"), (xx(color(cyan)(-2)),"|",1,-5,9,color(red)(-27)) :}`