Question

select the correct answer.

what is the simplified form of this expression?

\\((-3x^2 + 4x) + (2x^2 - x - 11)\\)

\\(\bigcirc\\) \\(-x^2 + 5x - 11\\)
\\(\bigcirc\\) \\(-x^2 + 3x - 11\\)
\\(\bigcirc\\) \\(-x^2 + 3x + 11\\)
\\(\bigcirc\\) \\(-x^2 + 5x + 11\\)

Explanation:

⚡ Using what you learned: adding and subtracting polynomials

Step 1: Group like terms

$$ (-3x^2 + 2x^2) + (4x - x) - 11 $$

Step 2: Combine coefficients

$$ -1x^2 + 3x - 11 $$

$$ -x^2 + 3x - 11 $$

Answer:

\( -x^2 + 3x - 11 \) (the second option)