How do you simplify the expression 3k + 43k² + 5k + 3 using the vertical method?

To simplify the expression 3k + 43k² + 5k + 3 using the vertical method, we start by rearranging the terms based on their degrees.

Now, write the like terms vertically:

  43k²
   3k 
   5k
   3

Now, we can combine the like terms:

• The k² term is just 43k².
• The k terms are 3k and 5k, which combine to give us 8k.
• The constant term is simply 3.

Putting it all together, we get:

  43k² + 8k + 3

Thus, the simplified expression is 43k² + 8k + 3.