下列多项式在有理数域上不可约的是（ ）。
A: $(x-a_{1})(x-a_{2})...(x-a_{n})-1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
B: $(x-a_{1})(x-a_{2})...(x-a_{n})+1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
C: $(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}+1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
D: $(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}-1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数.
A: $(x-a_{1})(x-a_{2})...(x-a_{n})-1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
B: $(x-a_{1})(x-a_{2})...(x-a_{n})+1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
C: $(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}+1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数；
D: $(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}-1$，其中$a_{1},a_{2},...,a_{n}$是两两互异的整数.
举一反三
- 作为线性空间$R^{3}$上的变换，下列$\cal A$不是线性变换的是（ ）。 A: $\cal {A}(a_{1},a_{2},a_{3})=(2a_{1}-a_{2}+a_{3},a_{2}-a_{3},2a_{1}+a_{3})$ B: ${\cal A}(a_{1},a_{2},a_{3})=(a_{1},0,a_{2})$; C: ${\cal A}(a_{1},a_{2},a_{3})=(a_{1},2a_{2},3a_{3})$ D: ${\cal A}(a_{1},a_{2},a_{3})=(a_{1}^{2},a_{2}-a_{3},a_{3}^{2})$
- 将向量组`a_{1}=(1,1)^{T}`,`a_{2}=(1,-2)^{T}`施密特正交化为向量组
- 与向量`a_{1}=(1,1,1)^{T}`,`a_{2}=(1,-2,1)^{T}`正交的向量为
- \( {1 \over {1 + x}} \)的麦克劳林公式为（ ）。 A: \( {1 \over {1 + x}} = 1 + x + { { {x^2}} \over 2} + \cdots + { { {x^n}} \over {n!}} + o\left( { { x^n}} \right) \) B: \( {1 \over {1 + x}} = 1 + x + {x^2} + \cdots + {x^n} + o\left( { { x^n}} \right) \) C: \( {1 \over {1 + x}} = 1 - x + {x^2} - \cdots + {( - 1)^n}{x^n} + o\left( { { x^n}} \right) \) D: \( {1 \over {1 + x}} = 1 - x - { { {x^2}} \over 2}- \cdots - { { {x^n}} \over {n!}} + o\left( { { x^n}} \right) \)
- \( {1 \over {1 + x}} \)的麦克劳林公式为（ ）. A: \( {1 \over {1 + x}} = 1 + x + { { {x^2}} \over 2} + \cdots + { { {x^n}} \over {n!}} + o\left( { { x^n}} \right) \) B: \( {1 \over {1 + x}} = 1 + x + {x^2} + \cdots + {x^n} + o\left( { { x^n}} \right) \) C: \( {1 \over {1 + x}} = 1 - x + {x^2} - \cdots + {( - 1)^n}{x^n} + o\left( { { x^n}} \right) \)