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Polynomial division and integration

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1)

Divide 2x6 - x4 -3x2 + 7 by (x - 2). What is the sum of the remainder and the x^4 coefficient of the result?

2)

Integrate: 2x(x2 + 3)4dx

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Solution Summary

This shows how to divide by a polynomial and integrate a polynomial functions.

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1)

Divide 2x^6 - x^4 -3x^2 + 7 by (x - 2). What is the sum of the remainder and the x^4 coefficient of the result?
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Using Long-Division method,

2x^5 + 4x^4 + 7x^3 + 14x^2 + 25x +50
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(x-2) | ...

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