How do you long divide (3x^4 + 2x^3 - 11x^2 - 2x + 5)div(x^2 - 2)(3x4+2x3−11x2−2x+5)÷(x2−2)?

1 Answer
Alan P.
Jan 21, 2016

3x^2+2x-53x2+2x−5 plus remainder of (2x-5)/(x^2-2)2x−5x2−2

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)) :}

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