Step-by-Step Solution to the Expression
Let’s take a closer look at the expression: 2x³ + 4 + 6x² + 11x + 10 + 2x. The first step in solving this is to combine like terms.
1. Identify and Arrange Like Terms
In polynomial expressions, we can group the terms based on their degrees:
- Degree 3: 2x³
- Degree 2: 6x²
- Degree 1: 11x + 2x
- Degree 0: 4 + 10
2. Combine Like Terms
Now, let’s combine the like terms:
- For the degree 1 terms: 11x + 2x = 13x
- For the degree 0 terms: 4 + 10 = 14
3. Write the Final Expression
After combining the like terms, the expression is simplified to:
2x³ + 6x² + 13x + 14
4. Summary
So, the original expression 2x³ + 4 + 6x² + 11x + 10 + 2x simplifies to 2x³ + 6x² + 13x + 14. If you need to evaluate this polynomial for specific values of x, substitute those values in and perform the arithmetic.