To find the sum of the polynomials, we first need to correctly express both polynomials:
- The first polynomial is x² + 9.
- The second polynomial is 3x² + 11x + 4.
Now, we will combine the two polynomials by adding their corresponding terms:
x² + 9
+
3x² + 11x + 4
Let’s align and combine:
(1x² + 3x²) + (11x) + (9 + 4)
This gives us:
- For the x² terms: 1 + 3 = 4
- For the x terms: 11
- For the constant terms: 9 + 4 = 13
Putting it all together, the sum of the polynomials is:
4x² + 11x + 13
So, the final answer is:
4x² + 11x + 13