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Solve: x² + 18x + 81 = 0. What is the factor form?
  1. (x + 8)²
  2. (x - 9)²
  3. (x + 9)²
  4. (x - 8)²
Explanation

:

  • The first term is x^2, so .
  • The last term is 81, so , which means (we take the positive root since the middle term is positive).
  • The middle term is 18x. Let's check if it matches 2ab: . It does.

Therefore, the quadratic expression can be factored into .

So the factor form of the equation is .

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