So I've noticed something about factoring a quadratic equation. I'm not sure if this applies to all quadratic equations, but when you put one in the form of ax^2+bx+c=0, factor it, and then …

Before trying to factor, you need to put the equation in the standard form: Ax^2+Bx+C=0. To do this, use opposite operations to move each term on the right side to the left side.

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. …

Factoring quadratics makes it easier to find their solutions. This article reviews factoring techniques and gives you a chance to try some practice problems.

Quadratics by factoring (intro) CCSS.Math: HSA.REI.B.4, HSA.REI.B.4.b, HSA.SSE.B.3, HSA.SSE.B.3.a, HSF.IF.C.8, HSF.IF.C.8.a Google Classroom Microsoft Teams

Before trying to factor, you need to put the equation in the standard form: Ax^2+Bx+C=0. To do this, use opposite operations to move each term on the right side to the left side.

Learn how to factor quadratic expressions as the product of two linear binomials. For example, x²+5x+6= (x+2) (x+3).

Factor quadratics of the form x²+bx+c.

Learn how to completely factor monomial expressions, or find the missing factor in a monomial factorization.

I wouldn't say that both methods are exactly interchangable; however, it's best to factor out. Factoring it out preserves the equation whilst dividing the equation by, for example it's GCF, …