In the expression 5m² + mn + 4n + 7, we can identify the individual terms by looking for separate segments that are combined by addition or subtraction. Each term typically includes a coefficient (a number) and variables raised to a power.
Breaking it down:
- 5m² – This is one term, with a coefficient of 5 and the variable m is raised to the power of 2.
- mn – This is the second term, with a coefficient of 1 (implied) and variables m and n both raised to the power of 1.
- 4n – This is the third term, with a coefficient of 4 and the variable n raised to the power of 1.
- 7 – This is a constant term, which can be thought of as having a variable raised to the power of 0 (since any number to the power of 0 is 1).
Now, let’s count the terms:
1. 5m²
2. mn
3. 4n
4. 7
In total, there are four terms in the expression 5m² + mn + 4n + 7.