Answer:
GCF: y³z³
Step-by-step explanation:
The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.
In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.
y³z³(x³y²z² , z² , x)
~
To solve the problem we must know about quadratic equations.
<h2>Quadratic Equation</h2>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
The breadth of the rectangle is 200 ft, while the length is 210 ft.
<h2>Explanation</h2>Given to us
Area of the parking lot = Area of the rectangle
42,000 ft² = Length x Breadth
Solving for L,
Perimeter of the parking lot = Perimeter of the rectangle
820 ft. = 2(Length + Breadth)
820 ft. = 2(L+ B)
Substituting the value of L,
Solving the quadratic Expression,
Equation the factors against zero,
B-210=0
B = 210
B-200=0
B = 200
Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.
Learn more about Quadratic Expression:
We have
So
The rational term vanishes as <em>x</em> gets arbitrarily large, so we can ignore that term, leaving us with
and this happens if <em>a</em> = 1 and <em>b</em> = -1.
To confirm, we have
as required.