ok, i need help w/ this problem.

(4x^3 + x^2 + 3) + (x^3 + 2x^2 +1)
can u please explain how to do this please? i'm very lost. Thanx!

Of course, Ally! I'll be happy to explain how to solve this problem.

To add the two polynomials together:
(4x^3 + x^2 + 3) + (x^3 + 2x^2 + 1)

1. Start by grouping like terms together. Like terms have the same variable(s) raised to the same exponent(s). In this case, the like terms are:
4x^3 and x^3
x^2 and 2x^2
and the constants 3 and 1

2. Now, add the coefficients of the like terms.

For the terms with x^3: 4x^3 + x^3 = 5x^3

For the terms with x^2: x^2 + 2x^2 = 3x^2

For the constants: 3 + 1 = 4

3. Combine the simplified terms to get the final answer.

Therefore, the simplified sum of the two polynomials is:
5x^3 + 3x^2 + 4

I hope this explanation helps you understand how to solve this problem! If you have any further questions, feel free to ask.