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Question

Mathematics Question on Determinants

Let x121\2x12\1x+2x1=ax3+bx2+cx+d\begin{vmatrix} x-1&2&1\\\2&x-1&2\\\1&x+2&x-1 \end{vmatrix}=ax^3+bx^2+cx+d, where a,b,c and d are constants. Then the value of d is

A

-8

B

6

C

0

D

-6

E

16

Answer

16

Explanation

Solution

The correct option is (E): 16