# How do you use synthetic division to divide# (x^2+4x+1)# by #x-5#?

##### 1 Answer

For explanation, see below.

#### Explanation:

Dividing by

#{:(ul5"|"," 1"," 4"," 1"," "),(ul" ",ul" ",ul" ",ul" ",+),(" "," "," ","| "," "):}#

Move the

#{:(ul5"|"," 1"," 4"," 1"," "),(ul" ",ul" ",ul" ",ul" ",+),(" "," 1"," ","| "," "):}#

Multiply the

#{:(ul5"|"," 1"," "4," 1"," "),(ul" ",ul" ",ul(" "color(red)5),ul" ",+),(" "," "color(red)1," ","| "," "):}#

Add the

#{:(ul5"|"," 1"," "4," 1"," "),(ul" ",ul" ",ul(" "color(red)5),ul" ",+),(" "," "color(red)1," "9,"| "," "):}#

Multiply the

#{:(ul5"|"," 1"," "4," 1"," "),(ul" ",ul" ",ul(" "color(red)5),ul(" "color(blue)(45)),+),(" "," "color(red)1," "color(blue)9,"| "," "):}#

Add the

#{:(ul5"|"," 1"," "4," 1"," "),(ul" ",ul" ",ul(" "color(red)5),ul(" "color(blue)(45)),+),(" "," "color(red)1," "color(blue)9,"|46"," "):}#

The numbers

#(x^2+4x+1)/(x-5)=x+9+46/(x-5)#