Rewrite the rational expression( x^3-7x^2+13x-3) / (x-3) in the form q(x) + r(x)/b(x), and then match q(x), r(x), and b(x) to the correct expressions. Tiles are:x^2-7x+13x^2-4x+1x^3-7x^2+13x-3x-3-30pair toq(x) =b(x) =r(x) =Please help!!

The correct answers are:
q(x) = [tex]x^2-4x+1[/tex]
b(x) = x-3
r(x) = 0

Explanation:
By using synthetic division, we would get:
   | 1   -7    13  -3
3 |      3   -12   3
---------------------------------
     1   -4      1   0

q(x) = [1 -4 1] = [tex]1*x^2-4x+1[/tex]
b(x) = x - 3 (Expression with which you're dividing)
r(x) = 0 (Since the last reminder is 0)