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 x²-5x-24 and the width to be x² + 5x + 6. Each cubby hole in the bookshelf will have a height of x + 2 and width of x - 8. Step 1 of 3: Write a rational expression to determine how many cubbies high the book shelf will be.

The student was asked to divide the given rational expressions. Explain what the student did wrong. (h +3)(h-6) (h-6)(h+ 2) (h+2)(h+5) (h + 3)(h + 4) Shania (h+3)(h-6) (h+2)(h + 5) Ih+3(h -6) Ih+2Mh +5) * th+3}(h + 4) (h-6)(h -6) (h+5)(h + 4) (h-6)(h +2) (h +3)(h + 4) (h -6)(h+2) O In the last step, the student neglected to divide out the last remaining common factor (h - 6). O The student's answer is not complete without expanding all parentheses in the final step. O The student shouldn't have divided out any common factors before expanding all parentheses. O When dividing out any common factors, the student should have added a minus sign in case the factors are negative. O The student did not change from division to multiplication of rational expressions and, therefore, divided out the wrong common factors. Give the correct answer. (Simplify your answer completely.) acer

6 x + 3 4 A board of length inches was cut into two pieces. If one piece is X-3 expression. The other piece of the board has length (Simplify your answer.) inches, express the length of the other piece as a rational כײ ← ? * 6 x +3 in. 4 X-3 in.

Identify the rational expression that is equivalent to Select one: 6x +4x² 3x² - 12x O b. 3x+2 1-6x D.C. 3+2x X-6 d. 9x+6x² 3x² 12x Clear my choice 3x + 2x² 2 x² - 6x