Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:$ 3 x^{2}-4 x+15 $

Given:

The given expression is \( 3 x^{2}-4 x+15 \).

To do:

We have to find whether the given expression is a polynomial in one variable.

Solution:

Polynomials:

Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.

In $3x^2-4x+15$, all the powers of $x$ are whole numbers.

Therefore, it is a polynomial in one variable $x$.

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Updated on: 10-Oct-2022

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