# Algebra

Use synthetic division to find the quotient and the remainder of:

(x^3-7x^2+13x+3)/(x-2)

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1. I will try to line up the numbers,

2 │ 1 -7 12 3
...------------
.......2 -10 6
....1 -5 ..3 9

so (x^3-7x^2+13x+3)/(x-2)
= x^2-5x+3 + 9/(x-2)

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2. Do we add the 9 and 3 to get 12??

=x^2 -5x (12/x-2)

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