I am in Algebra and have not had problems solving equations until I started factoring polynomials. Please explain reverse foil method in steps.

Asked on by micabu11

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pramodpandey | College Teacher | (Level 3) Valedictorian

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Reverse foil method is the process of changing the form of an expression from one containing terms to factors. A general approach to factoring a trinomial uses the FOIL method in reverse. Its also called as a factoring method. This is also called as foil method binomials.

This method is same as spliting middle term

let  we have binomial of following form

`ax^2+bx+c`  ,`a!=0`

First find  product of a and c i.e


Second  factor ac into rand s i.e

`ac=rxxs`  ,such that 

if `ac>0`  then `r+s=b`

if `ac<0 `  then `r-s=b`




Now taking common and we can factor














 F - First, O - Outer, I - Inner and L - Last

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