Question

Find the remainder when p(x)=4x^4-3x^3-2x^2 +x-7 is divided by (x+3).​

Answer 1

4x³- 9x²+ 25x-2

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x + 3 | 4x⁴ - 3x³ - 2x² + x - 7

| 4x⁴ + 12x³

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- 9x³ - 2x² + x - 7

- 9x³- 27x²

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+ 25 x² + x - 7

25x² + 3x

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- 2x - 7

- 2x - 6

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- 1

So, the remainder is -1 .