# How do you divide #(8x^3+5x^2-12x+10)/(x^2-3)#?

##### 1 Answer

#### Explanation:

I like to long divide just the coefficients, not forgetting to include

The process is similar to long division of numbers.

Write the dividend under the bar and the divisor to the left.

Write the first term

Write the product

Bring down the next term from the dividend alongside it, then choose the next term

Write the product

There are no more terms to bring down from the dividend and the remainder is now shorter than the divisor, so this is where we stop.

Our quotient is

So:

#(8x^3+5x^2-12x+10)/(x^2-3) = 8x+5 + (12x+25)/(x^2-3)#