If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?

Hey @waterlili, 

For this problem, we see a answer of polynomials. The "degree" of a polynomial is the highest power in the polynomial. 

For example, \(2x^5 + 3x^3 - 2x + 1\)

The degree of this polynomial is 5. 

In your case, if the degree does not match, it doesn't matter what happens. 4 is going to always be the degree. 

 

So 4 is the answer. 

 

4

 

Hope this helps!