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## Answers

__x² + 1__

x³ + 2x

__Dividing a Polynomial by a Polynomial is similar to that of dividing whole numbers.__

The answer is going to be

Solution is on the image I uploaded, just take a look of it.

Step 1:

Solution is on the image I uploaded, just take a look of it.

Step 1:

__Divide x^2 by x^3, (first term of the dividend by the first term of the divisor) that will result to 1/x__

__Step 2:__

Multiply 1/x by the terms of the divisor, that will result to x^2 and +2.

__Subtract x^2 +2 from x^2 +1, which results to -1.__

Step 3:

Step 3:

__Explanation 101:__

Hence, (x^2 + 1) / (x^3 + 2x) = 1/x remainder of -1. The quotient can also be expressed as:

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