Objective: Solve quadratic equations by factoring and applying the principle of zero products.
A quadratic equation is an equation that can be written in the form ax2 + bx + c = 0. When an equation is written in this form--called standard form--and the polynomial can be factored, the equation can be solved by applying the Principle of Zero Products. This principle states that if AB = 0, then A = 0, B = 0, or both.
After factoring the polynomial, each factor is set equal to zero, and the two resulting equations are solved to find the solutions of the original quadratic equation.
Watch the video below to see some examples of this process of solving quadratic equations.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.