To solve a quadratic equation using factoring, follow these steps:
A quadratic equation.
A quadratic equation
By knowing how to use the quadratic equation formula.
The discriminant
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The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
You'll typically use it when solving a quadratic equation - when factoring isn't obvious.
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.