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How Do You Solve a Quadratic Equation by Factoring?

Solve x2 + 12x + 32 = 0 by factoring

Summary

  1. The signs of the terms of the quadratic tell us what signs to put into our binomials!
  2. When you're guessing and checking, makes sure that you write out all of the factors
  3. Setting each binomial to zero gives us equations that reveal the solutions to this equation

Notes

    1. If it's not equal to zero, then we need to bring all the terms on one side of the equation, so that it does equal zero!
    1. Only a positive times a positive, or a negative times a negative would give us a positive constant at the end of the quadratic equation!
    1. For the product of the binomials to be zero, either one or the other has to be zero!
    1. For the product of the binomials to be zero, either one or the other has to be zero!