Simplify the polynomial.

-2x^2+3x+12+7x^2-7x+4

5x^2-4x+16

To simplify the polynomial -2x^2 + 3x + 12 + 7x^2 - 7x + 4, combine like terms by adding or subtracting coefficients for each degree of x.

Combining like terms, we have:
(-2x^2 + 7x^2) + (3x - 7x) + (12 + 4)

This simplifies to:
5x^2 - 4x + 16