Strategy:
Arrange polynomials in columns by degree.
Change the sign of ALL terms in the bottom polynomial.
Add the coefficients in each column.

Subtract:  3x3 + 4x2 - 5x + 7
-x3         + 3x - 7

2x3 + 4x2 - 2x      


Change signs below, and add:
Add:  3x3 + 4x2 - 5x + 7
+ x3         - 3x + 7

4x3 + 4x2 - 8x + 14

Answer is: 4x3 + 4x2 - 8x + 14