Exercise 1.

Use long polynomial division to rewrite

displaymath54

Answer.

The answer is:

displaymath56

Solution.

Divide the leading term tex2html_wrap_inline68 of the numerator polynomial by the leading term tex2html_wrap_inline70 of the divisor:

displaymath58

Multiply "back": tex2html_wrap_inline72 , and subtract:

displaymath59

Divide the leading term tex2html_wrap_inline74 of the bottom polynomial by the leading term tex2html_wrap_inline70 of the divisor:

displaymath60

Multiply back: tex2html_wrap_inline78 , and subtract:

displaymath61

You're done! The answer is:

displaymath56

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