16Hit1600
Advanced MathEasy–MediumZeros of a factored quadratic

Advanced Math practice question

The function f is defined by f(x) = (x + 2)(x − 6). For which values of x is f(x) = 0?

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

Answer: A. −2 and 6

A product is zero when a factor is zero. x + 2 = 0 gives x = −2, and x − 6 = 0 gives x = 6.

Why the other answers are wrong

B. 2 and −6
The signs are reversed. Setting x + 2 = 0 gives x = −2 (not 2), and x − 6 = 0 gives x = 6 (not −6).
C. −2 and −6
x − 6 = 0 when x = 6, not −6. Only the first factor produces a negative zero.
D. 2 and 6
x + 2 = 0 when x = −2, not 2. Each factor is solved by making the bracket zero, which flips the sign of the number inside.

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