If f(x) is a polynomial of degree 7, and g(x) is a polynomial of degree 7, and h(x) is a polynomial of degree 8, then what is the product of the minimum and the maximum possible degrees of f(x) + g(x) + h(x)?
The polynomial of degree 8 will be unaffected by its addition to the two polynomials of lesser degree
So...if we add these, the min and max will be degree 8
If we take the product of these.....the min (and max) will be degree ( 8 + 7 + 7) = 22