Final answer:
To sum the polynomials (4x^3 − 2x − 9) and (2x^3 + 5x + 3), combine like terms: add the x^3 terms, the x terms, and the constants to get 6x^3 + 3x − 6, which is answer choice c.
The correct answer is C.
Step-by-step explanation:
To find the correct sum of the polynomials (4x^3 − 2x − 9) + (2x^3 + 5x + 3), you combine like terms by adding the coefficients of the terms with the same degree. In this case, add the coefficients of the x^3 terms, the x terms, and the constant terms.
- Combine the x^3 terms: 4x^3 + 2x^3 = 6x^3
- Combine the x terms: -2x + 5x = 3x
- Combine the constant terms: -9 + 3 = -6
The correct sum of the polynomials is 6x^3 + 3x − 6, which matches option c.