To simplify the polynomial \( (x^2 - 4x + 3) + (2x^2 + 2x - 1) \), we need to combine like terms.
First, let's rewrite the expression:
\[ x^2 - 4x + 3 + 2x^2 + 2x - 1 \]
Now, group the like terms together:
- For \( x^2 \): \( x^2 + 2x^2 = 3x^2 \)
- For \( x \): \( -4x + 2x = -2x \)
- For the constant terms: \( 3 - 1 = 2 \)
Putting it all together, we have:
\[ 3x^2 - 2x + 2 \]
Thus, the simplified polynomial in standard form is:
\[ \boxed{3x^2 - 2x + 2} \]