Could someone please help me with this?

Is it possible to subtract two polynomials, each of degree 3, and have the difference be a polynomial of degree 2? If so, give an example. If not, explain why not.

thanks

1 answer

(x^3+ 5x^2+4) - (x^3 - 3x^2 - 6x)

= x^3 + 5x^2 + 4 - x^3 + 3x^2 + 6x
= 8x^2 + 6x + 4

mmmhhh?