Home > Algebra calculators > Reverse FOIL method (Splitting middle term) Factoring Polynomials calculator

Method and examples
Method
Factoring Polynomials
Reverse FOIL method (Splitting the middle term of quadratic trinomials)
Equation :

Expand and simplify polynomial expressions (FOIL Method) calculator
SolutionHelpFormulas
Factor by Reverse FOIL method (Splitting the middle term of quadratic trinomials) calculator
1. 25x^2-36
2. x^3+27
3. x^3-64y^3
4. x^2+6x+9
5. x^2+10x+24
6. 4x^2+y^2+1+4xy+4x+2y
7. x^3-3x^2-6x+8


Example
(1) x^2+10x+24

The coefficients are a=1,b=10,c=24

Find pair of factors whose product is a*c=1 * 24=24 and sum is b=10

The pairs of factors for 24 and their sums are
1,24 : 1+24=25

2,12 : 2+12=14

3,8 : 3+8=11

4,6 : 4+6=10

Factors are 4,6 whose product is 4 * 6=24 and sum is 4+6=10

So use 4 and 6 to split the 10 coefficient on the middle term

=x^2+4x+6x+24

=x(x+4)+6(x+4)

=(x+4)(x+6)
 




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