How do you divide (-x^4-3x^3-2x^2+7x-7)/(x^2+3) x43x32x2+7x7x2+3?

1 Answer
Jul 21, 2018

x^2-3 x+1+(16 x-10)/(x^2+3)x23x+1+16x10x2+3

Explanation:

(-x^4-3 x^3-2 x^2+7 x-7)/(x^2+3)x43x32x2+7x7x2+3

color(white)(......)color(white)(.....)-x^2-3x+1
x^2+3|overline(-x^4-3x^3-2x^2+7x-7)
color(white)(.............)ul(-x^4+"0"-3x^2)
color(white)(.....................)-3x^3+x^2+7x
color(white)(......................)ul(-3x^3+""0-9x)
color(white)(...................................)x^2+16x-7
color(white)(.....................................)ul(x^2+""0+3)
color(white)(.............................................)16x-10

(-x^4-3 x^3-2 x^2+7 x-7)/(x^2+3) = -x^2-3x+1+(16x-10)/(x^2+3)