Asked by Landon Sharp
Simplify the polynomial below and type in standard form.(1 point)(x2−4x+3)+(2x2+2x−1)=(𝑥2−4𝑥+3)+(2𝑥2+2𝑥−1)=
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{3x^2 - 2x + 2}
\]
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:
\[
\boxed{3x^2 - 2x + 2}
\]