Question

encontre o quociente eo resto da divisão 2x4-x3+4x-2 por s(X)=x2+6

Answer 1

2x⁴ - x³ + 4x -2 | x² + 6
…………………………|________
-2x⁴ - 12x²............2x²-x-12
_______
..0-x³-12x²+4x-2
....+x³+6x
______
......0-12x²+10x-2
.........+12x²+72
__________
............0+10x + 70

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Resto
R(x) = 10x + 70

Quociente
Q(x) = 2x² - x -12