Question

2 STEPS: Erik is building a cubby bookshelf, that is, a bookshelf divided into storage holes (cubbies) instead of shelves. He wants the height of the bookshelf to be x^2 - 2x - 8 and the width to be x^2 + 3x + 2. Each cubby hole in the bookshelf will have a height of x + 1 and width of x - 4. Write a rational expression to determine how many cubbies wide the bookshelf will be

Answer 1

Step 2:

In order to find an expression to the number of cubbies wide, we can divide the width of the bookshelf by the width of the cubby hole, so we have:

`\text{number of cubbies}=\frac{x^2+3x+2}{x-4_{}}`