# How do you find the quotient of x^2+5x+6 / x-4?

##### 1 Answer

Mar 6, 2016

x + 9

#### Explanation:

The quotient of a polynomial of degree n, when divided by a polynomial of degree m

The remainder is a polynomial of degree m

Here, n = 2 and m = 1.

So, a x + b +

To get a, b and c, multiply both sides by

The quotient is x + 9 and the remainder is 42..