What is the correct sum of the polynomials 6x³ + 8x + 5 and 3x³ + 6x²?

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To sum the polynomials 6x³ + 8x + 5 and 3x³ + 6x², we need to combine like terms. Here’s how to do it:

  1. First, list out the two polynomials:
    • First polynomial: 6x³ + 8x + 5
    • Second polynomial: 3x³ + 6x²
  2. Now, combine all the terms:
    • 6x³ + 3x³ (for the x³ terms)
    • 6x² (for the x² term)
    • 8x (for the x term)
    • 5 (the constant term)
  3. Now, add up the like terms:
    • The x³ terms: 6x³ + 3x³ = 9x³
    • The x² term remains: 6x²
    • The x term remains: 8x
    • The constant term remains: 5
  4. Combine all of these results:

    5. 9x³ + 6x² + 8x + 5

Therefore, the sum of the polynomials 6x³ + 8x + 5 and 3x³ + 6x² is 9x³ + 6x² + 8x + 5.

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