Introduction

When multiplying polynomials it is important to remember the Product Rule of Exponents learned in Algebra I.

The Product Rule of Exponents states when multiplying terms with the same base, add the exponents.
For example: xn . xm = x(n+m)

To multiply terms that have coefficients and one or more variables, multiply the coefficients and apply the product rule of exponents on each variable.

Example Multiply. (2x2y3)(3x2y)

Step 1. Group coefficients and like bases.

2 . 3 . x2 . x2 . y3 . y

Step 2. Multiply coefficients & apply the product rule of exponents.

(2 . 3) x(2+2) y(3+1)

Step 3. Simplify.

6x4y4



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