How do you divide #(5x^4+14x^3+9x)div(x^2+3x)# using long division?

1 Answer
Nov 14, 2016

The quotient is #=5x^2-x+3#

Explanation:

Let's do the long division

#color(white)(aaaa)##5x^4+14x^3+9x##color(white)(aaaa)##∣##x^2+3x#

#color(white)(aaaa)##5x^4+15x^3##color(white)(aaaaaaaaa)##∣##5x^2-x+3#

#color(white)(aaaaaa)##0-x^3#

#color(white)(aaaaaaaa)##-x^3-3x^2#

#color(white)(aaaaaaaaaa)##0+3x^2+9x#

#color(white)(aaaaaaaaaaaa)##+3x^2+9x#

#color(white)(aaaaaaaaaaaaaaaa)##0+0#

#(5x^4+14x^3+9x)/(x^2+3x)=5x^2-x+3#

The quotient is #=5x^2-x+3#