Simplifying the expression 3k + 52k² + 5k + 3 using the vertical method involves organizing the terms based on their powers of k.
First, we will rewrite the expression by grouping like terms:
- Terms with k²: 52k²
- Terms with k: 3k + 5k
- Constant terms: 3
Now, we can simplify:
- Combine the k terms: 3k + 5k = 8k
- The constant stays as 3.
Putting it all together, we get:
52k² + 8k + 3
This is the simplified expression using the vertical method.