Factoring Trinomials Calculator
MathFactor a quadratic trinomial ax^2 + bx + c into two linear binomial factors.
Root 1
The first value of x that makes the trinomial equal zero.
Root 2
-6.0000
The second value of x that makes the trinomial equal zero.
Factored Form
1(x + 2)(x + 6)
The trinomial written as a product of two linear factors, a(x - root 1)(x - root 2).
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Odeh Ahwal0people find this calculator helpful
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Frequently Asked Questions
What method does this calculator use to factor?
It 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 is mathematically equivalent to the traditional ac-method of splitting the middle term, but works directly for any real-rooted trinomial without needing to search for integer factor pairs.
What if a is 1?
When a=1, the trinomial simplifies to x^2+bx+c, and the two roots are exactly the two numbers that multiply to c and add to b, the classic factoring shortcut taught in most algebra courses.
How is this different from the diamond problem calculator?
The diamond problem calculator solves the more general version of this same underlying question: given any product and sum, find the two numbers that produce them, not necessarily tied to a specific trinomial's coefficients.
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