# How do you use synthetic division to divide #3x^3+4x^2-7x+1# by #3x-2#?

##### 2 Answers

#### Answer:

#### Explanation:

We use a slightly modified table when the coefficient of

**Step 1.** Write only the coefficients of

**Step 2.** Put the divisor at the left.

**Step 3.** Write the coefficient of

**Step 4.** Drop the first coefficient of the dividend below the division symbol.

**Step 5.** Divide the dropped value by the coefficient of

**Step 6.** Multiply the result by the constant, and put the product in the next column.

**Step 7.** Add down the column.

**Step 8.** Repeat Steps 5, 6, and 7 until you can go no farther.

**Check:**

#### Answer:

#### Explanation:

Note that this is simply an alternate approach to Ernest Z's answer. Some people may find one approach easier to understand than the other.

Set up as standard long division:

Multiply

Subtract:

"Bring down" the

...and so on...

The Remainder of