Exercise 2.

Use long polynomial division to rewrite

Answer.

The divisor divides evenly into the numerator. The answer is:

or after multiplying both sides by (x-1):

Solution.

Divide the leading term of the numerator polynomial by the leading term x of the divisor:

Multiply "back": , and subtract:

Divide the leading term of the bottom polynomial by the leading term x of the divisor:

Multiply back: , and subtract:

One more step! Divide again:

Multiply "back", and subtract:

The divisor divides evenly into the numerator. The answer is:

or after multiplying both sides by (x-1):

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