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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.

Polynomial Multiplication Worksheet Generator

FOIL and similar binomial products, with the expanded answer key.

Try:
Answer10-problem worksheet — Polynomial multiplication (easy) (seed 232968889)
  1. Seed232968889 (use this seed to regenerate the same worksheet)
  2. Count10 problems
  3. Problem1. Expand: (x − 3)(x − 2)
  4. Problem2. Expand: (x − 7)(x − 3)
  5. Problem3. Expand: (x + 2)(x − 6)
  6. Problem4. Expand: (x + 1)(x − 1)
  7. Problem5. Expand: (x − 6)(x + 7)
  8. Problem6. Expand: (x + 5)(x − 2)
  9. Problem7. Expand: (x + 4)(x + 2)
  10. Problem8. Expand: (x + 3)(x − 2)
  11. Problem9. Expand: (x + 3)(x − 7)
  12. Problem10. Expand: (x + 3)(x + 6)
  13. Answer key1. x^2 − 5x + 6; 2. x^2 − 10x + 21; 3. x^2 − 4x − 12; 4. x^2 − 1; 5. x^2 + x − 42; 6. x^2 + 3x − 10; 7. x^2 + 6x + 8; 8. x^2 + x − 6; 9. x^2 − 4x − 21; 10. x^2 + 9x + 18
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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.

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