Reverse FOIL Calculator
MathFactor a quadratic trinomial ax^2 + bx + c back into its two binomial factors using the reverse FOIL method.
Root 1
The first value of x that makes the trinomial equal zero.
Root 2
-0.5000
The second value of x that makes the trinomial equal zero.
Factored Form
The trinomial written as a product of two linear factors, a(x - root 1)(x - root 2). 6(x - 1.6666666666666667)(x + 0.5)
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Odeh Ahwal0people find this calculator helpful
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Saved
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Frequently Asked Questions
What is the reverse FOIL method?
Reverse FOIL works backward from a trinomial like ax^2+bx+c to find the two binomials that multiply together to produce it, undoing the FOIL expansion process.
How does this calculator find the factors?
Rather than manually testing integer factor pairs, this calculator finds the two roots of the trinomial directly using the quadratic formula, then writes the trinomial as a(x - root 1)(x - root 2). This gives the correct factorization for any real-rooted trinomial, not just ones with neat integer factors.
What if the roots are not whole numbers?
That is completely normal, many trinomials do not factor into whole-number binomials. The factored form is still mathematically correct and will expand back to the original trinomial.
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