Using polynomial long division, evaluate the expression below:First, we write our expression in long division format and follow the steps below.
Step 1 1a) Divide the first term of the
dividend by the first term of the
divisor →
x2 ÷
x = 1x
(2 - 1) =
x 1b) We multiply that part of the
quotient by the
divisor →
x(
x - 3) =
x2 - 3x →
Click here to see the Math for this Multiplication. 1c) Subtract
x2 - 3x from
x2 - 6x + 8 to get
-3x + 8 →
Click here to see the Math. | | | x |
x | - | 3 | x2 | - | 6x | + | 8 |
| | | x2 | - | 3x | | | | | | | | | | | -3x | + | 8 | | | |
Step 2 2a) Divide the first term of the
dividend by the first term of the
divisor →
-3x ÷
x = -3x
(1 - 1) =
-3 2b) We multiply that part of the
quotient by the
divisor →
-3(
x - 3) =
-3x + 9 →
Click here to see the Math for this Multiplication. 2c) Subtract
-3x + 9 from
-3x + 8 to get
-1 →
Click here to see the Math. | | | x | - | 3 |
x | - | 3 | x2 | - | 6x | + | 8 |
| | | x2 | - | 3x | | | | | | | | | | | -3x | + | 8 | | | | | | | | | -3x | + | 9 | | | | | | | | | | | -1 | | | |
We have a remainder leftover. We take our answer piece and remainder piece below
Answer =
x - 3Remainder piece = Leftover answer divided by our denominator