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a(x)b(x)=q(x)+r(x)b(x)\dfrac{a(x)}{b(x)}=q(x) + \dfrac{r(x)}{b(x)}b(x)a(x)=q(x)+b(x)r(x)start fraction, a, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction, equals, q, left parenthesis, x, right parenthesis, plus, start fraction, r, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction,