What is (3x2−2)+(11−5x)

?(1 point)
Responses

3x2+5x−9
3 x squared plus 5 x minus 9

−2x2+9
negative 2 x squared plus 9

2x2−9
2 x squared minus 9

3x2−5x+9

1 answer

To simplify the expression \((3x^2 - 2) + (11 - 5x)\), we can follow these steps:

  1. Remove the parentheses: \[ 3x^2 - 2 + 11 - 5x \]

  2. Combine like terms:

    • The \(x^2\) term: \(3x^2\) (there are no other \(x^2\) terms to combine with).
    • The \(x\) term: \(-5x\) (again, no other \(x\) terms).
    • The constant terms: \(-2 + 11 = 9\).

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

So the correct response is: 3x² - 5x + 9.