# How do you use synthetic division to divide #x^3+8x^2-3x+16# by #(x^2 + 5)#?

##### 1 Answer

Jul 24, 2015

#### Explanation:

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

**Step 2.** Negate the coefficients in the divisor and put every coefficient but the first one at the left.

**Step 3.** Drop the first coefficient of the dividend below the division symbol.

**Step 4.** Multiply the drop-down by the divisor, and put the result diagonally in the next columns.

**Step 5.** Add down the column.

**Step 6.** Repeat Steps 4 and 5 until you would go past the entries at the top with the next diagonal.

The quotient is

**Check:**