Simplify the polynomial below in stanard form

(x^2 - 4x + 3) + (2x^2 + 2x - 1)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the polynomial \((x^2 - 4x + 3) + (2x^2 + 2x - 1)\), we start by combining like terms.

1. Combine the \(x^2\) terms:
\[
x^2 + 2x^2 = 3x^2
\]

2. Combine the \(x\) terms:
\[
-4x + 2x = -2x
\]

3. Combine the constant terms:
\[
3 - 1 = 2
\]

Now, we can write the simplified polynomial in standard form:
\[
3x^2 - 2x + 2
\]

Thus, the simplified polynomial is:
\[
\boxed{3x^2 - 2x + 2}
\]