HOW DO I SOLVE A QUADRATIC EQUATION BY FACTORING?
Do you have a specific one?
You factor it in this form:
(x-a)(x-b)=0
then both factors , x-a, and x-b can be set equal to zero, and then x=a, and x=b.
X=0
To solve a quadratic equation by factoring, follow these steps:
1. Rewrite the quadratic equation in the form of ax^2 + bx + c = 0.
2. If the coefficient of x^2 (a) is greater than 1, factor out the greatest common factor (GCF) from all terms.
3. Look for two numbers (let's say "a" and "b") that multiply to give you the constant term (c) and add up to give you the coefficient of x (b).
4. Rewrite the quadratic equation using the two numbers (a and b) as coefficients of x.
5. Factor the quadratic expression as (x - a)(x - b) = 0.
6. Set each factor equal to zero:
(x - a) = 0 and (x - b) = 0.
7. Solve each equation for x:
For (x - a) = 0, add "a" to both sides: x = a.
For (x - b) = 0, add "b" to both sides: x = b.
8. The solutions to the quadratic equation are the values of x found in step 7.
Remember, factoring may not always be possible for every quadratic equation, especially if the equation has complex roots or irrational coefficients. In such cases, you can use other methods like completing the square or applying the quadratic formula.