Algebra
Polynomial Factoring Calculator
Factor polynomials step-by-step. Find the greatest common factor (GCF), factor trinomials, and use difference of squares to fully factor any polynomial.
Examples:
Formula Reference
Linear Equation
ax + b = c → x = (c−b)/a
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Discriminant
Δ = b² − 4ac
Vertex Form
y = a(x−h)² + k
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Solution Methodology
01
Extract GCF
Find the greatest common factor of all coefficients and variables.
02
Identify Patterns
Check for special forms like difference of squares or perfect cubes.
03
Factor the Remainder
Apply grouping or the ac-method to factor trinomials completely.
Common Questions
What is factoring in algebra?
Factoring is the process of breaking down an algebraic expression into simpler expressions (factors) that, when multiplied together, produce the original expression. It is the reverse of expanding.
How do you factor a trinomial?
For a trinomial ax² + bx + c, you look for two numbers that multiply to ac and add to b. You then rewrite the middle term bx using these numbers and factor by grouping.