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Factoring a quadratic allows you to solve the x and y intercepts.

The x-intercepts in the factored form are the inverse of the constants.

The y-intercept is the product of the x-intercepts multipied together.

Example:

x²-10x-24 = (x+2)(x-12)

+2 and -12 are the constants. So ur x-intercepts are (-2,0) (12,0).

The y intercept is -24 because -2 X 12 = -24.

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using the quadratic formula or the graphics calculator. Yes, you can do it another way, by using a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, without having to factor the equation. This method is fast, convenient and is applicable to any quadratic equation in standard form ax^2 +bx + c = 0, whenever it can be factored. It requires fewer permutations than the factoring method does, especially when the constants a, b, and c are large numbers. If this method fails to get answer, then consequently, the quadratic formula must be used to solve the given equation. It is a trial-and-error method, same as the factoring method, that usually takes fewer than 3 trials to solve any quadratic equation. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)


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Yes FOIL method can be used with quadratic expressions and equations


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It's much faster in most cases; however, factoring is not always possible.


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