Answer:
(3x − 1) feet
Step-by-step explanation:
To find this, we will factor the polynomial.
We want factors of a*c that sum to b; in this case, we want factors of 9*1 = 9 that sum to -6.
-3(-3) = 9 and -3+-3 = -6; this tells us how we "split up" bx:
9x²-3x-3x+1
Group together the first two and the last two terms:
(9x²-3x)+(-3x+1)
Factor out the GCF of each group. For the first group, this is 3x:
3x(3x-1)+(-3x+1)
The GCF of the second group is -1 (we want the 3x to be positive and the 1 to be negative so we factor out a negative):
3x(3x-1)-1(3x-1)
The GCF of the two groups is now (3x-1):
(3x-1)(3x-1)
This means the side length if 3x-1 feet.
Answer: (3x − 1)
If the area of the room is 9x2 − 6x + 1 square feet, then the length of one side of the room is (3x − 1) feet. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
