How do you divide $6x^4+x^3+1 div 2x^2-2$ ?

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Answer 1 · 2015-12-16T04:42:23

$((x^2-x+1)(6x+1))/(2(x-1))$

$(6x^4+x^3+1)/(2x^2-2)$

$=(x^3(6x+1)+1)/(2(x^2-1))$

$=((x^3+1)(6x+1))/(2(x+1)(x-1))$

$=((x+1)(x^2-x+1)(6x+1))/(2(x+1)(x-1))$

$=(color(red)cancelcolor(black)((x+1))(x^2-x+1)(6x+1))/(2color(red)cancelcolor(black)((x+1))(x-1))$

$=((x^2-x+1)(6x+1))/(2(x-1))$

How do you divide 6x^4+x^3+1 div 2x^2-26x^4+x^3+1 div 2x^2-2?