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what is the sum of the polynomials? \\((-x^2 + 9) + (-3x^2 - 11x + 4)\\…

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\\)

Explanation:

Group like terms

$$ (-x^2 + 9) + (-3x^2 - 11x + 4) = (-x^2 - 3x^2) - 11x + (9 + 4) $$

Combine coefficients

$$ -4x^2 - 11x + 13 $$

Answer:

  • (A) \(-4x^2 - 2x + 4\)
  • (B) \(-4x^2 - 11x + 13\) (Correct answer)
  • (C) \(2x^2 + 20x + 4\)
  • (D) \(2x^2 + 11x + 5\)