# How do you use synthetic division to divide #x^3+5x^2-x-9# by #x+2#?

##### 1 Answer

See explanation...

#### Explanation:

Synthetic division of polynomials is similar to long division of numbers...

Write the coefficients of the dividend

Write the coefficients of the divisor

Write the first coefficient

Write the result

Subtract this from the divisor to give the remainder

Write the next term

Write the next coefficient

Continue in similar fashion, until there are no more terms of the dividend to bring down.

The final remainder is the remainder of the whole division.

In our case, we find that

So:

or: