Final answer:
The sum of the polynomials (2x² +5) and (-x² +4) is found by combining like terms, resulting in x² + 9.
Step-by-step explanation:
To find the sum of the polynomials (2x² +5) and (-x² +4), we simply combine like terms. The like terms here are the terms that contain x to the same power. We have 2x² from the first polynomial and -x² from the second polynomial.
When we combine them, we add 2x² and -x², which gives us x². For the constant terms, we have +5 and +4, which add up to +9.
The final sum of the polynomials is x² + 9.