Factor Quadratics: X-method
One way to solve quadratic equations is by factoring. There are different methods to factor quadratics, and one of them is the X-method. The X-method involves finding two numbers that add up to a certain value and multiply to another value. For example, for the quadratic equation 3a²-9a-10, we would need to find two numbers that add up to -9 and multiply to -30. Then, we can factor the quadratic equation into (3x-10)(x+8).
Factoring Quadratic Equations Examples with Answers
Let's consider the quadratic equation 5v²+3v-14. We need to find two numbers that add up to 3 and multiply to -70. Using the X-method, this equation can be factored into (5v+7)(v-2).
Integrated Math 2: Solving Quadratics by Factoring
In Integrated Math 2, students learn about solving quadratic equations by factoring. This method involves factoring out the greatest common factor (GCF) and then using the X-method to factor the quadratic equation. For example, the equation 5m²-10m-15 can be factored into 5(m+1)(m-3) using these methods.
Solve Quadratics by Factoring Calculator
In some cases, a solving quadratics by factoring calculator can be a helpful tool to check your work when solving quadratic equations by factoring. By inputting the equation into a factoring calculator, you can quickly verify if your factored expression is correct.
Solving Quadratic Equations by Factoring - Day 2
On the second day of learning to factor quadratics, students practice factoring out the greatest common factor (GCF) before using the X-method to factor the quadratic equation further. By following these steps, they can identify the x-intercepts, i.e. the solutions, zeros, or roots, of the quadratic equation.
By following these methods, students can successfully solve quadratic equations by factoring and gain a deeper understanding of the X-method and factoring x-method examples.
