The document provides steps for multiplying a binomial and a trinomial: 1) Write the terms of each expression in a table and multiply corresponding terms. 2) Write the products in order from highest to lowest exponent. 3) Combine like terms by adding coefficients with the same exponents from lowest to highest.

1. Michael brown Guide to Multiplying a Binomial and a Trinomial (2x 2 +6x 3 +7x)(x 2 +4)

2. Step 1: You put each number in the parenthesis in the table. (2x 2 +6x 3 +7x)(x 2 +4) 6x 3 2x 2 x 2 4 7x

3. Step 2: You fill in the table by multiplying 6x 3 2x 2 x 2 4 7x 6x 5 2x 2 7x 3 24x 3 6x 2 28x

4. Step 3: You write your equation from biggest exponent to the least . 6x 3 2x 2 x 2 4 6x 5 + 24x 3 +7x 3 +6x 2 +2x 2+ 28x 7x 6x 5 2x 2 7x 3 24x 3 6x 2 28x

5. Step 4: After you have written down your equation you have to solve the equation by which ever numbers have the same exponent you have to plus them and when your done with your work you make sure that you have it from greatest to least . 6x 5 + 24x 3 +7x 3 +6x 2 + 2x 2 +28x 6x 5 +31x 3 +8x 2 +28x 6x 3 2x 2 x 2 4 7x 6x 5 2x 2 7x 3 24x 3 6x 2 28