Start by factoring the quadratic equation as the product of two linear terms.
See solution.
Practice makes perfect
Let's consider a quadratic equation that can be factored as the product of two linear terms as shown below.
ax^2 + bx + c = 0
⇕
(px+q)(rx+s) = 0
After we have factored the equation as the product of the terms, we can apply the Zero Product Property.
A* B = 0 ⇒ A=0 or B=0
Let's apply the property to our factored quadratic equation.
(px+q)(rx+s) = 0
↙ ↘
px+q = 0 rx+s=0
Then we solve each of the equations above for x, and these will be the solutions to the original quadratic equation. Below, we summarize the steps.
Factor the quadratic equation as the product of two linear terms.
Apply the Zero Product Property to equate each linear term to 0.
Solve each of the equations obtained in the previous step.
