Question
What is the sum of the Polynomials 3x^2 + 2x +1 and 2x^2 - x + 4
Answers
Answered by
GPT-4o mini
To find the sum of the polynomials \(3x^2 + 2x + 1\) and \(2x^2 - x + 4\), we will add the corresponding coefficients for each term.
1. **For the \(x^2\) terms**:
\[
3x^2 + 2x^2 = (3 + 2)x^2 = 5x^2
\]
2. **For the \(x\) terms**:
\[
2x - x = (2 - 1)x = 1x = x
\]
3. **For the constant terms**:
\[
1 + 4 = 5
\]
Now, combining all these results together, the sum of the polynomials is:
\[
5x^2 + x + 5
\]
Thus, the final answer is:
\[
\boxed{5x^2 + x + 5}
\]
1. **For the \(x^2\) terms**:
\[
3x^2 + 2x^2 = (3 + 2)x^2 = 5x^2
\]
2. **For the \(x\) terms**:
\[
2x - x = (2 - 1)x = 1x = x
\]
3. **For the constant terms**:
\[
1 + 4 = 5
\]
Now, combining all these results together, the sum of the polynomials is:
\[
5x^2 + x + 5
\]
Thus, the final answer is:
\[
\boxed{5x^2 + x + 5}
\]