Trigonometric Identities and Equations: Background You’ll Need 3

  • Solve quadratic equations by factoring
A quadratic equation can often be written as [latex]ax^2 + bx + c = 0[/latex].

To solve by factoring:

  1. Rewrite the equation in standard form (set equal to 0).

  2. Factor the quadratic expression.

  3. Set each factor equal to 0.

  4. Solve for [latex]x[/latex].

  1. Solve [latex]x^2 + 5x + 6 = 0[/latex].
  2. Solve [latex]2x^2 - 8x = 0[/latex].