2.10. Dividing a Polynomial by a Monomial
We continue with division by a monomial, but now we will divide a polynomial by a monomial.
To divide a polynomial by a monomial, we simply divide each the term of the polynomial by the monomial.
Example 85:Divide a2 + a by a. Solution: Dividing gives
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Example 86:Divide 6x3 − 3x2 by 3x. Solution:
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Example 87:Divide 8x2 − 4x + 4 by 2x. Solution:
This is really a consequence of the distributive law, Eq. 5.
Each of these terms is now simplified as in the preceding section.
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TI-89 screen for Example 87. Here we used expand from the 
menu.
Keep in mind that the fraction bar is a symbol of grouping. It means that the whole polynomial is to be divided by the monomial, not just some of its terms.
NOTE
Do not to forget to divide every term of the ...
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