To multiply a binomial and a trinomial: 1) Arrange the terms of each factor in a grid with the correct exponents. 2) Multiply corresponding terms and combine like terms. 3) The result is a polynomial with the sum of the exponents of like terms.

1. Guide to Multiplying a Binomial and a Trinomial (5x2+4x+9)(7x-2)

2. Step 1:the first step you have to put the numbers in the correct boxes. (5x2+4x+9)(7x-2) 5x 2 +4x 7x -2 (5x2+4x+9) (7x-2) +9 35x 3 28x 2 63x -10x 2 -8x -18

3. Step 2:Multiply the boxes 35x 3 +28x 2 +-10x+63x+-8x+-18 5x 2 +4x 7x -2 (5x2+4x+9) (7x-2) +9 35x 3 28x 2 63x -10x 2 -8x -18

4. Step 3:Combine like terms 35x 3 +28x+45x+-18

5. Step 4: (Explain step here) (Show work here)