Question

2) A company that manufactures and ships widgets has two different sizes for boxes. One size box has a volume modeled by thefunction f () = 2,3 - 500x + 3000. The other size box has a volume modeled by the function g (*) = 423 - 20z? - 240x. Write asimplified polynomial expression with terms in descending order that models the combined volume for one small box and one large box.

Answer 1

The company manufactures two different box sizes

$f(x)=x^3-500x+3000$$g(x)=4x^3-20x^2-240x$

To combine both polynomials you have to add them f(x)+g(x)

When you do so, you have to combine "like terms" together, this is to combine the terms that have the exact same variable from each equation.

$f(x)+g(x)=x^3-500x+3000+4x^3-20x^2-240x$

First arrange all common terms togheter and solve the operation between them:

$\begin{gathered} x^3+4x^3-20x^2-500x-240x+3000 \\ 5x^3-20x^2-740x+3000 \end{gathered}$