Final answer:
The sum of the polynomials (x²+x+9) and (7x²+5) is found by combining like terms, resulting in a final sum of 8x² + x + 14.
Step-by-step explanation:
To find the sum of the given polynomials (x²+x+9)+(7x²+5), you can combine like terms. This involves adding the coefficients of the like terms, which are the terms with the same variable to the same power.
Step-by-step explanation:
- Combine the terms with x²: x² + 7x² = 8x².
- Combine the terms with x: As there is no other x term in the second polynomial, we simply keep the x term from the first polynomial: x.
- Add the constant terms: 9 + 5 = 14.
The final sum of the polynomials is 8x² + x + 14.