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question 17 combine all like terms to simplify the expression. (x - 3 +…

Question

question 17

combine all like terms to simplify the expression.

(x - 3 + 12x + 1 + 6x^2)

  • (19x^2 - 2)
  • (6x^2 + 13x - 2)
  • (19x^2 + 4)
  • (6x^2 - 13x + 4)

Explanation:

Group the terms by their variable parts

$$ (6x^2) + (x + 12x) + (-3 + 1) $$

Combine the coefficients of the like terms

$$ LATEXBLOCK0 $$

Write the simplified expression in standard form

$$ 6x^2 + 13x - 2 $$

Answer:

  • (A) \(19x^2 - 2\)
  • (B) \(6x^2 + 13x - 2\) (Correct answer)
  • (C) \(19x^2 + 4\)
  • (D) \(6x^2 - 13x + 4\)