How do you long divide # (x^3 + 9x^2 + 7x + 3 ) div (x+2) #?

2 Answers
Mar 20, 2016

Answer:

#x^2 +7x-7 +17/(x+2)#

Explanation:

Given: #y=color(red)(1)x^3+color(red)(9)x^2+color(red)(7)x+color(red)(3)#

#-2# |#[(color(white)(0)1, color(white)(00)9, color(white)(000)7, 3)]#
#color(white)(-2)# |#[(color(white)(0)0, -2, -14, 14)]#
#color(white)(-2)# |#[(color(white)(0)1, color(white)(00)7, -7, color(white)(0)17)]#
#x^2 +7x-7 +17/(x+2)#

Mar 23, 2016

Answer:

Quotient#=x^2+7x-7#
Remainder#=17#

Explanation:

#x+2 ) bar(x^3+9x^2+7x+3)(x^2+7x-7#
#color(white)(IiW)ul(_x^3+-2x^2)#
#color(white)(WWWW)7x^2+7x#
#color(white)(WWW)ul(_7x^2+-14x)#
#color(white)(WWWIWW)-7x+3#
#color(white)(WWWWIW)-7x-14#
#color(white)(WWWWTW)ul(+color(white)(W)+color(white)(WW)#
#color(white)(WWWWWWWWW)17#

Quotient#=x^2+7x-7#
Remainder#=17#