In the polynomial f(x)=a0xn+a1xn−1+...+an−1x+an,wherea0,a1,a2,...,an are the real numbers, if a0=a1=a2=...=an−1=0andan≠0, then this is
A
Not a polynomial
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B
A linear polynomial
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C
A constant polynomial
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D
A zero polynomial
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Solution
The correct option is C A constant polynomial f(x)=a0xn+a1xn−1+...+an−1x+an,wherea0=a1=...=an−1=0,an≠0 ∴f(x)=an≠0,andan∈R ⇒f(x) is a constant polynomial