2 1 x2 x 3 9 3x 2 x 1 3x 4 x 3 2x 4 3x 3

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Unformatted text preview: + x + 1 1 The quotient is x 2 - 2x + ; 2 5 1 the remainder is x + . 2 2 Check : ) x- 2 3x 4 + x 3 + x 2 - 2x 3 - x 2 + x 2 2 -2x 3 - x 2 - x 3 3 1 5 - x2 + x - 2 3 3 1 1 1 - x2 - x - 3 9 9 16 17 x- 9 9 1 16 17 2 (3x 2 + x + 1) x 2 - x - + x - 9 9 9 3 2 1 1 = 3x 4 - 2x 3 - x 2 + x 3 - x 2 - x 3 9 3 1 16 17 2 + x2 - x - + x - 9 9 9 3 4 3 = 3x - x + x - 2 2 1 The quotient is x 2 - x - ; 3 9 16 17 the remainder is x- . 9 9 15. x -1 - 4 x + x + 3 2 ) - 4 x 2 - 3x - 3 -4 -4x3 + 4x2 - 3x 2 -3x 2 + 3x - 3x - 4 -3x + 3 -7 Check : (x -1)(- 4 x 2 - 3x - 3) + (- 7) = - 4 x 3 - 3x 2 - 3x + 4 x 2 + 3x + 3 - 7 = -4x3 + x2 - 4 The quotient is - 4x 2 - 3x - 3; the remainder is 7. 32 Section R.6 16. x -1 - 3x Polynomial Division; Synthetic Division Check: (x - 1)(- 3x 3 - 3x 2 - 3x - 5) + (- 6 ) = -3x 4 - 3x 3 - 3x 2 - 5x + 3x 3 + 3x 2 + 3x + 5 - 6 = -3x 4 - 2x - 1 The quotient is - 3x 3 - 3x 2 - 3x - 5; the remainder is 6. ) - 3x 3 - 3x 2 - 3x - 5 4 4 3 - 2x -1 - 3x 3 -3x 3 + 3x 2 - 3x 2 - 2x -3x 2 + 3x - 5x -1 -5x + 5 -6 - 3x + 3x 17. x2 + x +1 x4 ) x 2 - x -1 - x2 - x 3 - 2x 2 -x 3 - x 2 - x - x2 + x + 1 -x 2 - x -...
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