FOIL binomial expander
Expand (ax + b)(cx + d) with FOIL and show the resulting quadratic polynomial.
Loading tool…
Recommended next step
Related math tools
After using FOIL binomial expander, continue with 2×2 matrix determinant & inverse.
Continue this path
Tools selected to complete the same task.
Tool guide
FOIL binomial expander: how it works
Practical information to understand the result and use this tool correctly.
About FOIL binomial expander
FOIL expands First, Outer, Inner, Last products of two linear binomials.
The result is a quadratic polynomial ready for graphing or factoring practice.
Negative coefficients are supported without extra steps.
How to use it
- 1Enter a,b for the first binomial and c,d for the second.
- 2Calculate the expanded Ax²+Bx+C form.
- 3Use factoring tools to go the other direction.
Frequently asked questions
- Higher-degree factors?
- This tool targets two degree-1 binomials only.
- Order of binomials?
- Multiplication is commutative — order does not change the product.