Consider the following determinant: [Tex]\Delta = \begin{vmatrix} 1 & a & bc…
Consider the following determinant:
[Tex]\Delta = \begin{vmatrix} 1 & a & bc \\ 1 & b & ca \\ 1 & c & ab \end{vmatrix}[/Tex]
Treating a, b, and c as indeterminates, which of the following expressions is necessarily a factor of the polynomial Δ?
- A.
a + b
- B.
a - b
- C.
a + b + c
- D.
abc
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