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.
Divide x^2 by x^3, (first term of the dividend by the first term of the divisor) that will result to 1/xStep 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.
Hence, (x^2 + 1) / (x^3 + 2x) = 1/x remainder of -1. The quotient can also be expressed as: