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

1 Answer
Alan P.
Dec 9, 2015

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)) :}

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