Question

Find the remainder when the polynomial 4x4 – 3x3 – 2x2 + x–7 is divided by 1-3x​

Answer 1

-3x + 1) 4x⁴ - 3x³ - 2x² + x - 7 (-4/3 x³ + 13/9 x² + 31/27 x + 4/81

4x⁴ - 4/3 x³

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-13/3 x³ - 2x²

-13/3 x³ + 13/9 x²

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-31/9 x² + x

-31/9 x² + 31/27 x

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-4/27 x - 7

-4/27 x + 4/81

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-571/81

THEREFORE, REMAINDER WAS -571/81