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.

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Updated on: 10-Oct-2022

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