alleryWhich of the following is not a polynomial in the variable $x$?
A$5x^3-4x^2+x-\sqrt{2}$
B$4x+2$
C$\dfrac{1}{x-1}$
D$x^2-3x-4$
Answer & Solution
Correct answer: C. $\dfrac{1}{x-1}$
A polynomial in $x$ can have only non-negative integer powers of $x$.
In $\dfrac{1}{x-1}$, the variable appears in the denominator, so it is not a polynomial.
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