Question: Which of the following terms is NOT a polynomial?
Options:
5x^2 + 3x - 7
2x^3 - 4x + 1
3/x + 2
x^4 + 2x^2 + 1
Correct Answer: 3/x + 2
Solution:
The term 3/x is not a polynomial because it contains a negative exponent when rewritten as 3x^(-1).
Which of the following terms is NOT a polynomial?
Practice Questions
Q1
Which of the following terms is NOT a polynomial?
5x^2 + 3x - 7
2x^3 - 4x + 1
3/x + 2
x^4 + 2x^2 + 1
Questions & Step-by-Step Solutions
Which of the following terms is NOT a polynomial?
Step 1: Understand what a polynomial is. A polynomial is a mathematical expression that consists of variables raised to non-negative integer powers and coefficients.
Step 2: Identify the term in question, which is 3/x.
Step 3: Rewrite the term 3/x in a different form. This can be done by expressing it as 3 * x^(-1).
Step 4: Notice that the exponent in 3 * x^(-1) is -1, which is a negative exponent.
Step 5: Recall that polynomials cannot have negative exponents. Therefore, since 3/x has a negative exponent, it is not a polynomial.
No concepts available.
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