Box Method Factoring Calculator

The Box Method is a systematic way to factor quadratic expressions of the form \(ax^2 + bx + c\).

1. Find the Product: Multiply the coefficients \(a\) and \(c\).
2. Find Two Numbers: Find two numbers that multiply to the product \(ac\) and add up to the middle coefficient \(b\).
3. Fill the Box: Place the \(ax^2\) term in the top-left cell and the constant term \(c\) in the bottom-right. Place the two numbers you found (as terms with 'x') in the remaining two cells.
4. Find the GCF: Find the Greatest Common Factor (GCF) of each row and each column.
5. Write the Factors: The GCFs you found for the rows and columns form your two binomial factors.