What is the sum of the polynomials (-x^2+9)+(3x^2-11x+4)

The answer is:

To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.

We need to perform the following operation between polynomials:

So, calculating we have:

Have a nice day!