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Identify polynomials in the given expressions:a. $9x + 1$b. $\frac{2}{x} - 1$c. $\frac{1}{b} + 3$
Given :
The given expressions are,
a. $9x + 1$
b. $\frac{2}{x} - 1$
c. $\frac{1}{b} + 3$.
To do :
We have to identify the polynomials from the given expressions.
Solution :
Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
a. In $9x+1$, the variables(x) in the terms are raised to a whole number power.
b. In $\frac{2}{x}-1$, the term $\frac{1}{x}$ is equal to $x^{-1}$ and in this term, the variable x is raised to the power $-1$, which is not a whole number.
c. In $\frac{1}{b}+3$, the term $\frac{1}{b}$ is equal to $b^{-1}$ and in this term, the variable x is raised to the power $-1$, which is not a whole number.
Therefore, among the given expressions a. $9x + 1$ is the polynomial.