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Question

Mathematics Question on Functions

If f(x) = ∣x3−xa+xb+x x−ax2−xc+x x−bx−c0 ∣\begin{vmatrix} x^3-x & a+x & b+x \\\ x-a & x^2-x & c+x \\\ x-b & x-c & 0 \\\ \end{vmatrix} then

A

f(1) = 0

B

f(2) = 0

C

f(0) = 0

D

f(-1) = 0

Answer

f(0) = 0

Explanation

Solution

The correct answer is (C) : f(0) = 0.