Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Mixed Review - Page 386: 66

$-53$

$det=\begin{vmatrix} 5 & -9 & 2 \\ 4 & 2 & 3 \\0 &1 & -1 \end{vmatrix} \begin{matrix}5 & -9 \\ 4 & 2 \\0 &1 \end{matrix}$ $=[(5)(2)(-1)]+[(-9)(3)(0)+[(2)(4)(1)]-[(0)(2)(2)+(1)(3)(5)+(-1)(4)(-9)]]$ $det=-10+0+8-(0+15+36)$ $det=-2-51=-53$