To find the correct sum of the given polynomials, we need to add them together by combining like terms. The polynomials provided are:
- 4x³ + 2x + 9
- 2x³ + 5x + 3
Now, let’s add them step by step:
- Combine the x³ terms: 4x³ + 2x³ = 6x³
- Combine the x terms: 2x + 5x = 7x
- Combine the constant terms: 9 + 3 = 12
Putting it all together, the sum of the polynomials is:
6x³ + 7x + 12
Thus, the correct sum of the polynomials is 6x³ + 7x + 12.