Question

What is the correct sum of the polynomials (4x^3 − 2x − 9) + (2x^3 + 5x + 3)?

a. 6x^3 − 3x − 6
b. 2x^3 − 7x − 12
c. 6x^3 + 3x − 6
d. 2x^3 + 3x − 3

Answer 1

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.