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Learn how to multiply polynomials using the "FOIL" method and special cases. Includes examples of multiplying binomials, binomial by trinomial, and binomial cubed.
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We use the acronym below to multiply two binomials. F – O – I – L – The Product of Two Binomials FIRST OUTSIDE INSIDE LAST
1. 2. Find each product.
1. The product of the sum and difference of two terms. 2. The square of a binomial sum. 3. The square of a binomial difference. SPECIAL CASES
3. 4. Find each product.
Multiply each term of one of the polynomials by each term of the other, and then add all the monomial products. It may be helpful to line up the common terms vertically. MULTIPLYING A BINOMIAL BY A TRINOMIAL
5. Find each product.
6. Find each product.
To cube a binomial, write the binomial times. FOIL two binomials and then multiply the resulting trinomial by the remaining binomial. CUBING A BINOMIAL three
7. Find each product
8. Find each product
Multiplication works the same for multiple variables as it does for one variable, just make sure to only combine terms. Polynomials in Several Variables like
9. Find each product.
10. Find each product.