Omar has been contracted to install the mirror in the Carter’s bathroom. He needs to make two cuts from a square piece of mirror. If the area of the new mirror is A= x²-5x+6 ft², what size cuts can be made from one size to fit the space?

A. 6 ft.
Incorrect. (-6)(1) = -6, not 6

B. 5 ft.
Incorrect. You need to factor 6.

C. 3 ft.
Correct! The answers are 3 and 2.

D. 1 ft.
Incorrect. (-6)(1) = -6, not 6

Tammy drew a floor plan for her kitchen, as shown below.

Which expression represents the other dimension of Tammy’s kitchen floor?

A. 2x + 1
Correct! Nice checking!

B. 2x − 1
Incorrect. The wrong sign was used.

C. 3x + 1
Incorrect. (3x)(3x) = 9 x²not 6x².

D. 3x − 1
Incorrect. (3x)(3x) = 9 x²not 6x².

Roberto drew a floor plan for his bedroom, as shown below.

Which expression represents the dimensions of Roberto’s bedroom floor?

A. (x + 3y)(x − 27y)
Incorrect. You need to eliminate the middle term.

B. (x − 9y)(x − 9y)
Incorrect. (-9)(-9y) = + 81y².

C. (x + 9)(x − 9y)
Correct. This is the difference of squares.

D. (x − 3y)(x + 27y)
Incorrect. You need to eliminate the middle term.

The area of glass needed for a window pane is given by the following equation x² – 11x + 28 = 0. What is the length of one of the cuts needed to make this rectangle from a square piece of material?

A. x = 28
Incorrect. You need to factor 28.

B. x = 14
Incorrect. 14 is a factor of 28 but not the correct one.

B. x = 14
Incorrect. 14 is a factor of 28 but not the correct one.

C. x = 4
Correct! 28 factors into -7 and -4.

D. x = 2
Incorrect. 2 is a factor of 28 but not the correct one.