Asked by Captain Nemo
Simplify the polynomial below in stanard form
(x^2 - 4x + 3) + (2x^2 + 2x - 1)
(x^2 - 4x + 3) + (2x^2 + 2x - 1)
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{3x^2 - 2x + 2}
\]
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:
\[
\boxed{3x^2 - 2x + 2}
\]