Use synthetic division to find P(3) for P(x) = x^4 – 6x^3 – 4x^2 – 6x – 2.
(1 point)
Responses
3
3
–137
–137
299
299
–47
To use synthetic division to find P(3), we substitute 3 into the polynomial P(x) = x^4 – 6x^3 – 4x^2 – 6x – 2.
First, list the coefficients of the polynomial in decreasing order:
1 -6 -4 -6 -2
Next, perform synthetic division:
3 | 1 -6 -4 -6 -2
| 3 -9 -39 -105
---------------------
1 -3 -13 -45 -107
The last number we get, -107, represents the remainder. Therefore, P(3) = -107.
The correct answer is -107.