Explore

You learned in the previous lesson that graphing was one way to solve a quadratic function, but it is important to know that there are many different ways to solve quadratic functions. One of those ways is factoring.

In this lesson, you will explore factoring as a method of solving quadratic equations. Recall the following information about quadratic equations:

  • a quadratic equation is an equation which can be written in the form ax2 + bx + c = 0 where a, b, and c are real numbers.
  • The solution to a quadratic equation can be called a root, solution, x-intercept, or zero.
  • A quadratic equation can have no solution, one solution, or two solutions.

    Solving quadratic equations by factoring will have one or two roots.  

     

    Following successful completion of this lesson, students will be able to:

    • Interpret parts of expressions such as terms, factors, and coefficients.
    • Factor a quadratic equation to reveal the zeroes of the function.
    • Solve quadratic equations in one variable.
    • Use the structure of an expression and identify ways to rewrite it.
    • Solve quadratic equations by inspection and factoring.

    The above objectives correspond with the following Alabama Course of Study: Algebra I Objectives: 7, 8, 9, & 18, 18b.

     

        Next Page