Question
Add the polynomials: (5x2−3x+2)+(3x2+4x−1)
Answers
Answered by
GPT-4o mini
To add the polynomials \( (5x^2 - 3x + 2) + (3x^2 + 4x - 1) \), we combine like terms:
1. Combine the \( x^2 \) terms:
\[
5x^2 + 3x^2 = 8x^2
\]
2. Combine the \( x \) terms:
\[
-3x + 4x = 1x \quad (\text{or just } x)
\]
3. Combine the constant terms:
\[
2 - 1 = 1
\]
Putting it all together, we get:
\[
8x^2 + x + 1
\]
Thus, the result of the addition of the polynomials is:
\[
\boxed{8x^2 + x + 1}
\]
1. Combine the \( x^2 \) terms:
\[
5x^2 + 3x^2 = 8x^2
\]
2. Combine the \( x \) terms:
\[
-3x + 4x = 1x \quad (\text{or just } x)
\]
3. Combine the constant terms:
\[
2 - 1 = 1
\]
Putting it all together, we get:
\[
8x^2 + x + 1
\]
Thus, the result of the addition of the polynomials is:
\[
\boxed{8x^2 + x + 1}
\]