High school homework help (grades 9–12)

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Worked example

Solve x² − 5x + 6 = 0 by factoring.

  1. Find two numbers whose product is 6 and sum is −5: −2 and −3.
  2. Factor the quadratic: (x − 2)(x − 3) = 0.
  3. A product is zero when at least one factor is zero, so x = 2 or x = 3. Substitution verifies that each value satisfies the original equation.

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