What is (3x2−2)+(11−5x) ?(1 point)

Question

Responses

−2x2+9
negative 2 x squared plus 9

3x2−5x+9
3 x squared minus 5 x plus 9

2x2−9
2 x squared minus 9

3x2+5x−9

Answer 1

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

1. First, distribute the addition: \[ 3x^2 - 2 + 11 - 5x \]

2. Next, combine the constant terms and the like terms:

   • Combine constants: \(-2 + 11 = 9\)
   • Combine like terms for \(x\): there are no \(x\) terms in the first part, so it remains \(-5x\).

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

Therefore, the simplified expression is \( 3x^2 - 5x + 9 \).

So, the correct response is:

3x^2−5x+9