How do you divide (x^4+2x^3+ 5 x^2-4x-2)/(x+2) ?

1 Answer
Rachel
Apr 20, 2017

x^3+5x-14+26/(x+2)

Explanation:

I'd like to use synthetic division for color(red)(1)x^4+color(blue)(2)x^3+color(purple)(5)x^2+color(green)(-4)x+color(orange)(-2)

color(black)(-2)color(black)(|)color(red)(1)color(white)(-)color(blue)(2)color(white)(-)color(purple)(5)color(white)(.)color(green)(-4)color(white)(.)color(orange)(-2)
color(white)(-2)color(black)(|)color(white)(1)color(white)(.)color(black)(-2)color(white)(-)color(black)(0)color(white)(.)color(black)(-10)color(white)(.)color(black)(28)
color(white)(-2.)..........................................
color(white)(-2)color(black)(|)color(black)(1)color(white)(-)color(black)(0)color(white)(-)color(black)(5)color(white)(.)color(black)(-14)color(white)(.)color(black)(26)

We have a remainder, but that's not a problem :)

x^3+0x^2+5x-14+26/(x+2)
x^3+5x-14+26/(x+2)

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