Simplify $$(x^3+4x^2-7x+11)+(-4x^4-x^3+x^2+7x+3).$$  Express your answer as a polynomial with the terms in order by decreasing degree.
We can start by adding the terms with the same exponent. So the $x^3$ terms would be $x^3 + (-x^3)$ which is $0x^3$. The constant terms would be $11+3=14$. And the x terms would be $-7x+7x=0$. So the answer is $-4x^4+5x^2+0x^3+0+14$. So the answer is $-4x^4+5x^2+14$.

