Long description

Polynomial division: 6 x squared plus x minus 2 is divided by 2 x minus 1 in long division form. Divide the first term of the dividend, 6 x squared, by the first term of the divisor, 2 x: 6 x squared divided by 2 x is 3 x. Row 2 of the division: 6 x squared minus 3 x, obtained by multiplying 3 x times, 2 x minus 1. Subtract row 2: 6 x squared minus 6 x squared = 0. Row 3: 4 x minus 2. Obtain 4 x this way: x minus negative 3 x = 4 x. Subtract: 4 x minus 2, minus 4 x minus 2 = 0. The quotient is 3 x plus 2.

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