Question

Which of the following are terms in this expression? Select all that apply.
3m2+10n2+4
N^2
10^3
3m
10n^2

Answer 1

To determine which of the given options are terms in the expression \(3m^2 + 10n^2 + 4\), let's identify what a term is. In a polynomial expression, a term is a single mathematical expression that can consist of numbers, variables, or both, usually separated by plus (+) or minus (−) signs.

The expression provided is:
\[ 3m^2 + 10n^2 + 4 \]

Now, let's analyze the options:

1. **3m2** - This term is equivalent to \(3m^2\) and is part of the expression.

2. **N^2** - This does not appear in the expression. The expression contains \(10n^2\), but it does not have a standalone \(n^2\) term. So, this option is not a term in the expression.

3. **10^3** - This term does not appear in the expression. There is \(10n^2\) in the expression, but \(10^3\) does not match any part. Therefore, this option is not a term in the expression.

4. **3m** - This is not a standalone term in the expression. The expression contains \(3m^2\), but not \(3m\) alone. Thus, this option is not a term in the expression.

5. **10n^2** - This term appears in the expression, as it is part of the original polynomial.

Based on the analysis, the terms that are part of the expression \(3m^2 + 10n^2 + 4\) are:

- **3m2**
- **10n^2**

So the correct options are:
- **3m2**
- **10n^2**