The question is simply and answer in standard form

3x2(that is x squared)-2x+1+x2(xsquared)+2x-9

so I made it
3xsquared+xsquared=4xsaqured
-2x+2x=0
the answer is: 4xsquared-(-8)=4xsquared+8

Then it asks the type of polynomial?
I thought it was binomial

Are these correct?
Thank you for your help

3x^2 - 2x + 1 + x^2 + 2x - 9

= 4x^2 - 8

don't understand how you got +8
( +1-9 = -8)

yes, it is a binomial , (there are two terms, "bi" means 2)

Yes, your simplification of the given expression is correct:

3x^2 - 2x + 1 + x^2 + 2x - 9

Combining like terms, you get:

4x^2 - 8

So the simplified expression is 4x^2 - 8.

Now, regarding the type of polynomial, a binomial is a polynomial that consists of two terms. In your case, the simplified expression has only one term (4x^2) and a constant (-8). Therefore, we can classify it as a monomial, not a binomial.

So, to summarize, the simplified expression is 4x^2 - 8, and it is a monomial.