How do you divide (-3x^4-4x^2+2x+15)/(x^2-x+4)3x44x2+2x+15x2x+4?

1 Answer
Jun 13, 2018

-3x^2-3x-3+(7x+27)/(x^2-x+4)3x23x3+7x+27x2x+4

Explanation:

(-3x^4-4x^2+2x+15)/(x^2-x+4)3x44x2+2x+15x2x+4

color(white)(....)color(white)(.............)-3x^2-3x-3
x^2-x+4|overline(-3x^4+"00"-4x^2+2x+15)
color(white)(...................)ul(-3x^4+3x^3-4x^2)
color(white)(......................)-3x^3+"00"+2x
color(white)(........................)ul(-3x^3+3x^2-12x)
color(white)(..................................)-3x^2+10x+15
color(white)(....................................)ul(-3x^2+3x-12)
color(white)(................................................)7x+27

(-3x^4-4x^2+2x+15)/(x^2-x+4) = -3x^2-3x-3+(7x+27)/(x^2-x+4)