Question

4x³ -12x²+14x-3 is divided by 2x-1 then remainder is

Answer 1

Answer:

$\\ \\ \\ 2 {x}^{2} - 5x + 4\\ \sqrt[2x - 1]{ {4x}^{3} - {12x}^{2} + 14x - 3 } \\ {4x}^{3} - {2x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - \: \: \: \: \: \: \: + \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: - - - - - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - {10x}^{2} + 14x - 3 \\ \: \: \: \: \: \: \: \: - {10x}^{2} + 5x \\ \: \: \: + \: \: \: \: \: \: \: \: \: \: - \\ \: \: \: \: \: \: \: \: \: \: - - - - - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + 9x - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + 8x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + 1 \\ \\ thus \: the \: remainder \: is \: x + 1$

Answer 2

Answer:

2x

2x 2

2x 2 −5x+4

2x 2 −5x+42x−1

2x 2 −5x+42x−1

2x 2 −5x+42x−1 4x

2x 2 −5x+42x−1 4x 3

2x 2 −5x+42x−1 4x 3 −12x

2x 2 −5x+42x−1 4x 3 −12x 2

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4−+

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4−+−−−−−−−−

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4−+−−−−−−−−x+1

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4−+−−−−−−−−x+1thustheremainderisx+1

2x 2 −5x+42x−1 4x 3 −12x 2 +14x−3 4x 3 −2x 2 −+−−−−−−−−−−−−−10x 2 +14x−3−10x 2 +5x+−−−−−−−−−−−−−+9x−3+8x−4−+−−−−−−−−x+1thustheremainderisx+1