Algebra › Section E · Polynomials › Topic E.3
Multiplying polynomials
One law governs every polynomial product: every term of the first times every term of the second. FOIL, the area model, and the special-product patterns are just ways of keeping that count honest.
In this topic
- The one law
- Monomial times monomial
- Monomial times polynomial
- Binomial times binomial: FOIL
- The area model
- Worked example: trinomial times binomial
- The special products
- Why squaring a sum is not a sum of squares
- Worked example: a garden's area
- Common mistakes to avoid
- Key takeaways
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