Answer:
1) [tex]2x^{2}+13[/tex]
2) Option C.
3) Option B.
Step-by-step explanation:
1. You must apply the Distributive property as following:
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^{2}-5x+2x-10)[/tex]
2. Now, you must distribute the negative sign, then you have:
[tex]-5x^2-2x+4+8x^2-x-1-x^{2}+5x-2x+10[/tex]
3. Finally, you must add the like terms. Then you obtain the polynomial:
[tex]2x^2+13[/tex]
4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.
5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).
