Finding the Sum of the Polynomials
To find the sum of the expressions 7a³ + 14a + 12 and 6a³ + 12a² + 7, we will combine like terms. Here’s how to do it step by step:
Step 1: Write down the polynomials
We have:
- First polynomial: 7a³ + 14a + 12
- Second polynomial: 6a³ + 12a² + 7
Step 2: Combine the like terms
Now, let’s organize the terms by their degree:
- For a³ terms: 7a³ + 6a³ = 13a³
- For a² terms: 0 + 12a² = 12a²
- For a terms: 14a + 0 = 14a
- For the constant terms: 12 + 7 = 19
Step 3: Write the final result
Putting it all together, the sum is:
13a³ + 12a² + 14a + 19
This polynomial is the result of adding the two given polynomials.