Exercise 4.

Use long polynomial division to rewrite

Answer.

Solution.

Divide the leading term of the numerator polynomial by the leading term 2x of the divisor:

Multiply "back": , and subtract:

Divide the leading term of the bottom polynomial by the leading term 2x of the divisor:

Multiply back:

and subtract:

One more step! Divide again:

Multiply "back", and subtract:

Consequently, we obtain:

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