Simplify the polynomial below and type in standard form.(1 point)(x2−4x+3)+(2x2+2x−1)=(𝑥2−4𝑥+3)+(2𝑥2+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 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:

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