When solving a quadratic by factoring What should you do first?
Try first to solve the equation by factoring. Be sure that your equation is in standard form (ax2+bx+c=0) before you start your factoring attempt. Don’t waste a lot of time trying to factor your equation; if you can’t get it factored in less than 60 seconds, move on to another method.
How do I solve by factoring?
The Solve by Factoring process will require four major steps:
- Move all terms to one side of the equation, usually the left, using addition or subtraction.
- Factor the equation completely.
- Set each factor equal to zero, and solve.
- List each solution from Step 3 as a solution to the original equation.
Which method is best for solving quadratic equations?
Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.
Why called the method solving quadratic equations by factoring?
To solve quadratics by factoring, we use something called “the Zero-Product Property”. Therefore, when solving quadratic equations by factoring, we must always have the equation in the form “(quadratic expression) equals (zero)” before we make any attempt to solve the quadratic equation by factoring.
Why do we factor when solving quadratic equations?
Explanation: Because it tells you what the roots of the equation are, i.e. where ax2+bx+c=0, which is often a useful thing to know. This is a factored quadratic equation.