How can I simplify the expression 2p^4 + 2 + 3 + 5p, and what is the simplified expression in standard form?

To simplify the expression 2p⁴ + 2 + 3 + 5p, we need to combine like terms and arrange the terms in standard form, which is typically ordered from the highest degree to the lowest degree of the variable.

Let’s break down the given expression:

• 2p⁴ is the term with degree 4.
• 5p is the term with degree 1.
• 2 and 3 are constant terms (degree 0).

Next, we can combine the constant terms:

• 2 + 3 = 5

Now our expression looks like this:

2p⁴ + 5 + 5p.

Finally, we want to write this expression in standard form, which means we should list the terms starting from the one with the highest degree:

• 2p⁴ (degree 4)
• 5p (degree 1)
• 5 (degree 0)

The simplified expression in standard form is:

2p⁴ + 5p + 5.

This is the final answer, and here we have successfully simplified and properly ordered the expression!