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

1 Answer
Dec 9, 2015

Answer:

#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)) :}#