Question

How do you long divide `(3x^4 + 2x^3 - 11x^2 - 2x + 5)div(x^2 - 2)`?

Answer 1

`3x^2+2x-5` plus remainder of `(2x-5)/(x^2-2)`

Explanation:

#{: (,,3x^2,+2x,-5,,), (x^2-2,")",bar(3x^4),bar(+2x^3),bar(-11x^2),bar(-2x),bar(+5)), (,,3x^4,,-6x^2,,), (,,bar(color(white)("XXX")),bar(2x^3),bar(-5x^2),,), (,,,2x^3,,-4x,), (,,,bar(color(white)("XXX")),bar(-5x^2),bar(+2x),), (,,,,-5x^2,,+10), (,,,,bar(color(white)("XXX")),bar(2x),bar(-5)) :}#