Question

How do you use synthetic substitution to find f(3) and f(-2) for `f(x)=x^2-4x+4`?

Answer 1

`f(3)=1`

`f(-2)= 16`

Explanation:

Given
`color(white)("XXX")f(x) = color(blue)(1)x^2color(blue)(-4)xcolor(blue)(+4)`

`"------------------------------------------------------"`

For `color(black)(f(color(green)(3)))`

#{: (,,color(blue)(1),color(blue)(-4),color(blue)(+4)), (,,,+3,-3), (,,"----","----","----"), (xx color(green)(3),"|",1,-1,color(red)(+1)) :}#

`"------------------------------------------------------"`

For `color(black)(f(color(green)(-2)))`

#{: (,,color(blue)(1),color(blue)(-4),color(blue)(+4)), (,,,-2,+12), (,,"----","----","----"), (xx (color(green)(-2)),"|",1,-6,color(red)(+16)) :}#