How do you use synthetic division to divide #3x^3 - x^2 + 8x-10# by #x-1#?

1 Answer
Jul 24, 2015

Answer:

#color(red)((3x^3-x^2+8x-10)/(x-1) = 3x^2+2x+10)#

Explanation:

Step 1. Write only the coefficients of #x# in the dividend inside an upside-down division symbol.

1

Step 2. Change the sign of the constant in the divisor and put it at the left.

2

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

3

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

4

Step 5. Add down the column.

5

Step 6. Repeat Steps 4 and 5 until you can go no farther

6

The quotient is #3x^2+2x+10#.

Check:

#(x-1)( 3x^2+2x+10) = 3x^3+2x^2+10x-3x^2-2x-10 = 3x^3-x^2+8x-10#