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# Multiplying Polynomials

Multiplying Monomials

To multiply one monomial by another, we multiply the numerical factors and then multiply the variable factors.

Example 1: Perform each multiplication: Multiplying a Polynomial by a Monomial

To multiply a polynomial by a monomial, we use the distributive property and multiply each term of the polynomial by the monomial.

Example 2: Perform each multiplication:   Multiplying a Polynomial by a Polynomial

To multiply a polynomial by a polynomial, we use the distributive property repeatedly.

Example 3: Perform each multiplication:  Special Products

Example 6: Find each square: Graphical Illustration: Example 7: Multiply: The products discussed in Examples 6 and 7 are called special products. The two trinomials are called
perfect square trinomials.

*Note:

Example 9: Multiply: An Application of Multiplying Polynomials

Recall: Area formulas:

Square Rectangle Triangle Example: Write a polynomial that represents the area of the rectangle shown: Multiplying Expressions that are not Polynomials

Example 11: Find the product of and 