Final answer:
The sum of the polynomial expressions 2x + 5x² and -10x² + 7x + 1, after correcting the typo, is -5x² + 9x + 1 by combining like terms.
Step-by-step explanation:
The question appears to involve combining two polynomial expressions. A typo in the first polynomial is present, but it seems to be 2x + 5x². The second polynomial expression is given as -10x² + 7x + 1. To find the sum of these two polynomials, we combine like terms.
First we rewrite both polynomials:
Now, we combine like terms:
- Add the x-squared terms: 5x² - 10x² = -5x²
- Add the x terms: 2x + 7x = 9x
- Add the constant terms: There is only one constant, 1
The sum of the polynomials is: -5x² + 9x + 1.