Hint: Uses the AC / split-the-middle-term method: find integers m,n with m·n = a·c and m + n = b.
The Factoring Trinomial Calculator helps you factor any trinomial instantly, with accurate steps and clean factoring. Factoring trinomials is a fundamental concept in algebra. Whether you are a student, educator, or simply revisiting math concepts, being able to factor expressions such as ax² + bx + c is crucial for solving quadratic equations, simplifying expressions, and grasping polynomial functions.
What Is a Trinomial?
A trinomial is a polynomial with three terms.
General form of a trinomial:
Where:
a = coefficient of x²
b = coefficient of x
c = constant term
What Is Factoring a Trinomial?
Factoring is the process of breaking an expression into simpler, multiplied components (called factors) that, when multiplied together, give the original expression.
In other words, Factoring rewrites an expression as a multiplication of simpler expressions.
How to Factor a Trinomial (Formula & Methods)
Use the AC method (also called factoring by grouping).
Steps:
- Multiply a × c
2. Find two numbers m and n such that:
3. Factor by grouping
How to use our Factoring Trinomial Calculator?
- Enter the coefficient of x2 (a), the coefficient of x (b), and the constant term ( c).
- Click “Factor” to factor the equation.
