Simplify the polynomial below and type in standard form:

(x^2−4x+3)+(2x^2+2x−1)
(1 point)

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 can combine like terms.

1. First, let's group the terms based on their degrees:

- \(x^2\) terms: \(x^2 + 2x^2\)
- \(x\) terms: \(-4x + 2x\)
- Constant terms: \(3 - 1\)

2. Now, let's perform the additions for each group:

- \(x^2\) terms: \(1x^2 + 2x^2 = 3x^2\)
- \(x\) terms: \(-4x + 2x = -2x\)
- Constant terms: \(3 - 1 = 2\)

3. Now, let's put everything together:

\[
3x^2 - 2x + 2
\]

Thus, the simplified polynomial in standard form is:

\[
\boxed{3x^2 - 2x + 2}
\]