To find the sum of the polynomials 9, 3x², 8x², 4x, and 5, we combine like terms. First, let’s identify and group the like terms:
- Constant terms: 9 and 5
- Quadratic terms: 3x² and 8x²
- Linear term: 4x
Now, we can add these like terms together:
- For the constant terms: 9 + 5 = 14
- For the quadratic terms: 3x² + 8x² = 11x²
- The linear term remains: 4x
At this point, we can write the sum of the polynomials as:
11x² + 4x + 14
This is the expression that represents the sum of the given polynomials.