Multiply the following using the vertical multiplication method:

 A) 3x⁴ - x³ + 3x² + 18x + 4

Step-by-step explanation:

Vertical Multiplication is the same with polynomials as it is for numbers.

How would you multiply     1 2 3

                                          x  4 5

You would multiply the top row by 5, shift everything one space to the left and multiply everything by 4, and then add those values.

We do the same for polynomials.

                                                         3x² + 5x + 1

                                                           x² - 2x + 4  

4(3x² + 5x + 1) -->                         12x² + 20x + 4

-2x(3x² + 5x + 1) -->             -6x³ - 10x² -  2x

x²(3x² + 5x + 1) -->      3x⁴ + 5x³ +  1x²                      

Sum:                           3x⁴  - 1x³  + 3x²  + 18x  + 4

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i