Question:medium

If \[ \left| \begin{matrix} x-3& 2& 1\\ 3& x-2& 1\\ 3& 2& x-1 \end{matrix} \right| = (x-2)(px^{2}+qx+r)+8, \] then \(3p-2q+r=\)

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When a determinant is expressed in factorized polynomial form, first compute the determinant completely and then compare coefficients or divide by the given factor.
Updated On: Jun 22, 2026
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The Correct Option is B

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