# How do you divide #(6x^3+7x^2+12x-5)div(3x-1)# using synthetic division?

##### 1 Answer

#### Answer:

Be very careful when the divisor has a leading coefficent not equal to one.

#### Explanation:

Rewrite the divisor

Then the problem becomes

Do synthetic division using the divisor

1/3 | 6...7....12...-5

......|.......2....3.....5

......-------------------

........6....9.....15....0

This result can be written as

But remember to multiply this result by