Factor Polynomials

Factor Polynomials

Part 1

Given

Part 2

Area of flower bed as an equation:

Part 3

Area of rectangle ABCD= A₁+A₂

Part 4

Part 5

 

 

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You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:

Red rectangle inside of larger blue rectangle. The red rectangle measures 4 ft by 6 ft. The blue rectangle has two doted lines coming off of the top left corner of the red rectangle that form a square out of the corner of the blue rectangle. The two sides of the square that are inside of the rectangle are labeled with “x”

Assessment Instructions
Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Find the total area of flower bed. Hint: This answer is just a number (no variables).

Part 2: Write the area of the flower bed as an equation using multiplication of two binomials.

Part 3: Solve your equation from Part 2.

Part 4: Identify the extraneous solution and explain how it was determined to be extraneous.

Part 5: Find the width of the daisies in the diagram above.