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# Using Synthetic Division?

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I need to determine the quotient, $$Q$$, using synthetic division:

$${h^3+2h^2-3h+9 \over h + 3}$$

Here's my work:

I got $$Q(h) = {h^2 + 5h +12}$$ when the textbook has an answer of $$Q(h) = {h^2-h}$$.

What did I do wrong?

Nov 13, 2018