Question:Divide `4x^4` - `3x^3` + `2x^2` -5x +6 by `x^2` - 3x - 1
Answer
`x^2` - 3x - 1 ) `4x^4` - `3x^3` + `2x^2` - 5x + 6 ( `4x^2` + 9x + 33 `4x^4` - `12x^3` - `4x^2` --------------------------------- `9x^3` + `6x^2` - 5x `9x^3` - `27x^2` - 9x ----------------------------- `33x^2` + 4x + 6 `33x^2` - 99x - 33 --------------------- 103x + 39 The quotient is `4x^2` + 9x + 33; the reminder is 103x + 39.
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Divide `4x^4` - `3x^3` + `2x^2` -5x +6 by `x^2` - 3x - 1