Let \({\rm{a}}{{\rm{x}}^3} + {\rm{b}}{{\rm{x}}^2} + {\rm{cx}} + {\rm{d}} = \left| {\begin{array}{*{20}{c}} {{\rm{x}} + 1}&{2{\rm{x}}}&{3{\rm{x}}}\\ {2{\rm{x}} + 3}&{{\rm{x}} + 1}&{\rm{x}}\\ {2 - {\rm{x}}}&{3{\rm{x}} + 4}&{5{\rm{x}} - 1} \end{array}} \right|\)What is the value of c?

Let \({\rm{a}}{{\rm{x}}^3} + {\rm{b}}{{\rm{x}}^2} + {\rm{cx}} + {\rm{

1.	Let \({\rm{a}}{{\rm{x}}^3} + {\rm{b}}{{\rm{x}}^2} + {\rm{cx}} + {\rm{d}} = \left\| {\begin{array}{*{20}{c}} {{\rm{x}} + 1}&{2{\rm{x}}}&{3{\rm{x}}}\\ {2{\rm{x}} + 3}&{{\rm{x}} + 1}&{\rm{x}}\\ {2 - {\rm{x}}}&{3{\rm{x}} + 4}&{5{\rm{x}} - 1} \end{array}} \right\|\)What is the value of c?
A.	-1
B.	34
C.	35
D.	50
Answer» D. 50

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Let \({\rm{a}}{{\rm{x}}^3} + {\rm{b}}{{\rm{x}}^2} + {\rm{cx}} + {\rm{d}} = \left| {\begin{array}{*{20}{c}} {{\rm{x}} + 1}&{2{\rm{x}}}&{3{\rm{x}}}\\ {2{\rm{x}} + 3}&{{\rm{x}} + 1}&{\rm{x}}\\ {2 - {\rm{x}}}&{3{\rm{x}} + 4}&{5{\rm{x}} - 1} \end{array}} \right|\)What is the value of c?

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