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Advanced MathEasyReading solutions from factored form

Advanced Math practice question

What are the solutions to (x − 2)(x + 6) = 0?

  1. A. x = 2 and x = −6Correct
  2. B. x = −2 and x = 6
  3. C. x = 2 and x = 6
  4. D. x = −2 and x = −6

Answer: A. x = 2 and x = −6

Each factor gives a solution: x − 2 = 0 means x = 2, and x + 6 = 0 means x = −6.

Why the other answers are wrong

B. x = −2 and x = 6
The signs flip when solving each factor: x − 2 = 0 gives +2, and x + 6 = 0 gives −6.
C. x = 2 and x = 6
x = 6 gives (4)(12) = 48, not 0.
D. x = −2 and x = −6
x = −2 gives (−4)(4) = −16, not 0.

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