To simplify the expression 7x + 34x² + 3x + 6, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
1. First, let’s identify the like terms in the expression:
- The terms with x: 7x and 3x
- The term with x²: 34x²
- The constant term: 6
2. Now, we can combine the like terms:
- Combine 7x and 3x: 7x + 3x = 10x
- 34x² stays as it is, since there are no other x² terms.
- 6 also remains unchanged as it’s a constant.
3. Putting it all together, we get:
10x + 34x² + 6
In standard form, we would typically place the highest power first, which gives us:
34x² + 10x + 6
So, the correctly simplified expression is 34x² + 10x + 6.