How do you divide #(x^3 - 7x - 6 ) # by #x+1#?
1 Answer
Oct 29, 2015
This could be done by long polynomial division or synthetic division.
Explanation:
Using synthetic division to divide
#{: (,,x^3,x^2,x^1,x^0), (,"|",color(brown)(1),color(brown)(+0),color(brown)(-7),color(brown)(-6)), (,"|",,-1,1,6), ("-----","|","------","------","------","------"), (xx color(cyan)((-1)),"|",color(red)(1),color(red)(-1),color(red)(-6),color(blue)(0)), (,,x^2,x^1,x^0,color(blue)("Remainder")) :}#
Notre: the top and bottom rows of this table are only helpful reminders; they are not usually included in a synthetic division.