How do you divide ( -3x^3+ 3x^2-30x-72 )/(x + 1 )−3x3+3x2−30x−72x+1?

1 Answer
Alan P.
Jan 12, 2016

The fastest method is probably synthetic division; giving:
(-3x^2+6x-36) -36/(x+1)(−3x2+6x−36)−36x+1

Explanation:

(color(blue)(-3)x^3,color(blue)(+3)x^2,color(blue)(-30)x,color(blue)(-72)) div (xcolor(red)(+)color(green)(1))(−3x3,+3x2,−30x,−72)÷(x+1)

{: (,,color(blue)(-3),color(blue)(+3),color(blue)(-30),color(blue)(-72)), (,,,+3,-6,+36), (xx (color(red)(-)color(green)(1)),"|",bar(color(cyan)(-3)),bar(color(cyan)(+6)),bar(color(cyan)(-36)),bar(color(brown)(-36))) :}

color(cyan)(-3)x^2color(cyan)(+6)xcolor(cyan)(-36) with a remainder of (color(brown)(-36))

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