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Question

State whether the following expression are polynomials or not? Justify your answer.
$$\dfrac{1}{x + 1}$$

Solution
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$$\dfrac{1}{x + 1} = (x + 1)^{-1}$$ which cannot be reduced to an expression in which the exponent of the variable x has only whole numbers in each of its terms. So, this algebraic expression is not a polynomial.

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