The given polynomial expression is expressed as
x + 3x^2 + 2x - 3 - 4x^2 + 6
Polynomials are written such that the term with the highest power comes first.
By simplifying the given polynomial, it becomes
3x^2 - 4x^2 + x + 2x - 3 + 6
= - x^2 + 3x + 3
To evaluate the polynomial for x = 2, we would substitute x = 2 into the polynomial. We have
- 2^2 + 3 * 2 + 3
= - 4 + 6 + 3
= 5