Simplify the polynomial.

5x^2-6x+9-7x^2+9x+3

-2x^2+3x+12

To simplify the polynomial 5x^2 - 6x + 9 - 7x^2 + 9x + 3, we can combine like terms.

First, let's group the like terms together:

(5x^2 - 7x^2) + (-6x + 9x) + (9 + 3)

This simplifies to:

-2x^2 + 3x + 12

So, the simplified form of the polynomial 5x^2 - 6x + 9 - 7x^2 + 9x + 3 is -2x^2 + 3x + 12.