# How do you divide #(x^4 - 7x^3 + 2x^2 + 9x)/(x^3-x^2+2x+1)#?

##### 1 Answer

Long divide the coefficients to find:

#(x^4-7x^3+2x^2+9x)/(x^3-x^2+2x+1) = x-6 + (-6x^2+4x+6)/(x^3-x^2+2x+1)#

That is, the quotient is

#### Explanation:

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

The process is similar to long division of numbers.

Write the dividend (

Choose the first term

Write out the product of this first term of the quotient and the divisor below the dividend and subtract it.

Bring down the next term (

Choose the next term

Write out the product of this second term of the quotient and the divisor below the remainder and subtract it.

The resulting remainder

In this example, we find the quotient is