Polynomial Multiplication Worksheet Generator
The generator builds binomial-product problems and expands them in the answer key, ready for FOIL practice. Easy uses (x + a)(x + b); medium puts a non-1 coefficient on each binomial; hard is the perfect-square shortcut (ax + b)².
Frequently asked questions
What is FOIL?
First, Outer, Inner, Last — the mnemonic for multiplying two binomials. It is a special case of the distributive property.
Why include perfect squares on hard?
(ax + b)² has the memorable form a²x² + 2abx + b² — a useful pattern to recognise quickly. The hard worksheet drills it directly.
Are negative coefficients used?
Yes. The b and d coefficients on every difficulty range over both signs so students see all four sign combinations.