How do you simplify #(x^3 - 4x^2 - 17x +6) \divide (x-3)#?

1 Answer
Oct 10, 2017

#x^2-x-20-54/(x-3)#

Explanation:

You can use synthetic division:

Our factor is #(x-3)# so our root is #+3#

#3__|# #1# #color(white)(0)##-4# #color(white)(0)##-17##color(white)(0)# #6#
+#color(white)(0)##darr##color(white)(00)##3##color(white)(00)##-3##color(white)(0)##-60#