Multiplication and Division of mixed units

Here we need to have a firm understanding of how many smaller units make up the larger unit. I choose to convert all units to the smaller of the two, then preform the required arithmetic , then convert back to the mixed units.

Polynomial Division

It is critically important when dividing polynomials to honor the euclidean algorithm. You can't think in terms of "how many times does the divisor go into the dividend?" You must instead repeatedly ask the question "what do I multiply the first term in my divisor by to get the first term in my dividend?" Once this question is answered you MUST honor the distributive property and handle your subtraction with care.