Question

What is (3x2−2)+(11−5x)?(1 point)
Responses

2x2−9
2 x squared minus 9

3x2−5x+9
3 x squared minus 5 x plus 9

3x2+5x−9
3 x squared plus 5 x minus 9

−2x2+9

Answer 1

To simplify the expression \((3x^2−2)+(11−5x)\), we can combine like terms:

1. Start by distributing the addition:
\[
3x^2 - 2 + 11 - 5x
\]

2. Now, group the like terms:
- The \(x^2\) term: \(3x^2\)
- The \(x\) term: \(-5x\)
- The constant terms: \(-2 + 11\)

3. Combine the constant terms:
\[
-2 + 11 = 9
\]

4. Putting it all together:
\[
3x^2 - 5x + 9
\]

Therefore, the simplified expression is:
\[
3x^2 - 5x + 9
\]

The correct response is:
**3x² − 5x + 9**