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Question
what is the sum of the polynomials?
\\((-x^2 + 9) + (-3x^2 - 11x + 4)\\)
- \\(-4x^2 - 2x + 4\\)
- \\(-4x^2 - 11x + 13\\)
- \\(2x^2 + 20x + 4\\)
- \\(2x^2 + 11x + 5\\)
Group like terms
$$
(-x^2 + 9) + (-3x^2 - 11x + 4) = (-x^2 - 3x^2) - 11x + (9 + 4)
$$
Combine coefficients
$$
-4x^2 - 11x + 13
$$
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- (A) \(-4x^2 - 2x + 4\)
- (B) \(-4x^2 - 11x + 13\) (Correct answer)
- (C) \(2x^2 + 20x + 4\)
- (D) \(2x^2 + 11x + 5\)