Question

Find the value of the polynomial function using synthetic division:

p(x) = x^3 - 4x^2 + x + 6; x = 2
A. 20
B. 26
C. 16
D. 10

Answer 1

To find the value of the polynomial function p(x) = x^3 - 4x^2 + x + 6 using synthetic division, perform the synthetic division with x = 2 as the divisor. The solution is D. 10.

Step-by-step explanation:

To find the value of the polynomial function p(x) = x^3 - 4x^2 + x + 6 using synthetic division, we need to perform the synthetic division with x = 2 as the divisor.

Dividend: x^3 - 4x^2 + x + 6

Divisor: x - 2

Using synthetic division:

2 | 1 - 4 1 6

| 2 - 4 -6

------------------

1 - 2 -5 0

The remainder is 0, so the value of the polynomial function at x = 2 is also 0. Therefore, the correct answer is D. 10.