Question

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

3x2−5x+9
3 x squared minus 5 x plus 9

3x2+5x−9
3 x squared plus 5 x minus 9

−2x2+9
negative 2 x squared plus 9

2x^2−9

Answer 1

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

1. Start with the expression:
\[
(3x^2 - 2) + (11 - 5x)
\]

2. Distributing the terms:
- The \(3x^2\) term stays as is.
- Combine the constant terms: \(-2 + 11 = 9\).
- The \(-5x\) term stays as is.

3. Combine everything:
\[
3x^2 - 5x + 9
\]

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

Thus, the correct response is:
**3x² − 5x + 9.**