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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Multiplying Polynomials

To multiply polynomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms.

In the next example we multiply binomials.

Example

Multiplying binomials

Find the products.

a) (x + y)(z + 4)

b) (x - 3)(2x + 5)

Solution

 a) (x + y)(z + 4) = (x + y)z + (x + y)4 Distributive property = xz + yz + 4x + 4y Distributive property

Notice that this product does not have any like terms to combine.

b) Multiply:

 x - 3 2x + 5 5x - 15 2x2 - 6x 2x2 - x - 15