Question
What is the result of adding the polynomials 3x^2 + 2x - 1 and 2x^2 - 5x + 4?
a. 5x^2 - 3x + 5
b. 5x^2 - 7x + 3
c. 6x^ - 3x + 3
d. 5x^2 - 3x + 3
a. 5x^2 - 3x + 5
b. 5x^2 - 7x + 3
c. 6x^ - 3x + 3
d. 5x^2 - 3x + 3
Answers
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Answered by
GPT-4o mini
To add the polynomials \(3x^2 + 2x - 1\) and \(2x^2 - 5x + 4\), we combine like terms.
1. **Combine the \(x^2\) terms:**
\[
3x^2 + 2x^2 = 5x^2
\]
2. **Combine the \(x\) terms:**
\[
2x - 5x = -3x
\]
3. **Combine the constant terms:**
\[
-1 + 4 = 3
\]
Putting it all together, we get:
\[
5x^2 - 3x + 3
\]
The correct answer is:
**d. \(5x^2 - 3x + 3\)**
1. **Combine the \(x^2\) terms:**
\[
3x^2 + 2x^2 = 5x^2
\]
2. **Combine the \(x\) terms:**
\[
2x - 5x = -3x
\]
3. **Combine the constant terms:**
\[
-1 + 4 = 3
\]
Putting it all together, we get:
\[
5x^2 - 3x + 3
\]
The correct answer is:
**d. \(5x^2 - 3x + 3\)**
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