| Use
synthetic division to determine if (x +
2) is a factor of P(x) = 2x3 - x2 + 2x - 3 |
| Put -2 in the upper left hand corner (box). Put the coefficients of the polynomial in the first row. | |
|
Solve |
Step |
 |
Bring
the down the 2.
Use -2 (in box) if x
+
2 = x -
(-2) is the factor. |
|
|
Multiply
2 × -2
= -4
Add -1 + (-4) = -5 |
|
Multiply
-5 × -2
= 10
Add 2 + 10 = 12 |
|
|
Multiply
12 × -2
= -24
Add -4 + (-24) = -28 |
Since there is a remainder of -28, then (x + 2) is not a factor of the polynomial. |
|
