What is (12x^{3} - 6x + 4) - ( - 3x^{2} + 4x + 3)?

The difference of these two polynomials is the same as the sum of polynomials

(12x^{3} - 6x + 4) + (3x^{2} - 4x - 3)

We distributed the minus sign by flipping every sign in the second polynomial. We flipped them all upside - down too, even though you probably can't tell. We may have gotten a little flip - happy.

We do the new polynomial addition problem and find