Read each example slowly and try to identify the factoring methods being used and why each step is performed. After you have reviewed the materials, complete a few practice problems and check your answers.

To solve a quadratic equation by factoring:

Solve:

Solution: Write a nice, clean list of equivalent equations.

Check by substituting into the original equation:

Solution: Do not multiply it out!

If it is already in factored form, with zero on one side, then be happy that a lot of the work has already been done for you.

Original equation | |

or | Use the Zero Factor Law |

or | Solve the simpler equations |

or | Solve the simpler equations |

Check by substituting into the original equation:

Solution: Note that it is already in standard form.

Original equation | |

Factor the left-hand side; you may want to use the factor by grouping method | |

or | Use the Zero Factor Law |

or | Solve the simpler equations |

or | Solve the simpler equations |

Check by substituting into the original equation:

Source: Tree of Math, https://www.onemathematicalcat.org/algebra_book/online_problems/solve_quad_eq_morecomp_fac.htm

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Last modified: Thursday, May 6, 2021, 10:11 AM