Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies) instead of shelves. He wants the height of the bookshelf to be x^2 - 11x - 12 and the width to be x^2 + 3x + 2. Each cubby hole in the bookshelf will have a height of x + 2 and of width of x - 12. Multiply the rational expressions from Step 1 and Step 2 to obtain a rational expression that gives the total number of cubbies in the entire bookshelf.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter5: Polynomials And Polynomial Functions
Section5.4: Dividing Polynomials
Problem 5.83TI: Use synthetic division to find the quotient and remainder when 3x3+10x2+6x2 is divided by x+2 .
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Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies) instead of shelves. He wants the height of the bookshelf to be x^2 - 11x - 12 and the width to be x^2 + 3x + 2. Each cubby hole in the bookshelf will have a height of x + 2 and of width of x - 12. Multiply the rational expressions from Step 1 and Step 2 to obtain a rational expression that gives the total number of cubbies in the entire bookshelf.
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