A polynomial is defined by (f(x + 1) = x^{3} + px^{2} – 4x + 2), find f(2).
-
A.
-8 -
B.
-2 -
C.
2 -
D.
8
Correct Answer: Option C
Explanation
Given: (f(x + 1) = x^{3} + 3x^{2} – 4x + 2).
(f(2) = f(x + 1) implies x + 1 = 2; x = 1)
(f(2) = 1^{3} + 3(1)^{2} – 4(1) + 2 = 1 + 3 – 4 + 2 = 2)