## Algebra 1

$2w+5+\frac{10}{w-1}$
In order to match the first term of the dividend, the divisor must be multiplied by $2w$. The $2w$ will go on top of your division sign. $$(2w)(w-1)=2w^2-2w$$ Then, subtract this from the first two terms of the dividend $$(2w^2+3w+5)-(2w^2-2w)=5w$$ Bring down the next term of the dividend $$5w+5$$ Multiply the divisior by $5$ to match this. The $5$ will follow the $2w$ on top of your division sign. $$(5)(w-1)=5w-5$$ Subtract this from the dividend. $$(5w+5)-(5w-5)=10$$ The remainder of 10 can be put over top of the divisor in the answer.