Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
We can use FOIL to solve.
(x + 7)(x + 10)
(x * x) + (x * 7) + (7 * x) + (7 * 10)
x² + 7x + 7x + 70
x² + 14x + 70
Best of Luck!
Answer:
D
Step-by-step explanation:
hi again
because the cornets show that -4 and -2 are also by -4 and -6 so that would =x+1 and x-5
hope this helps have a good day
love, The chris mac
Answer:
A(x) = 4x^2 + 330x + 4356
Step-by-step explanation:
width of park: x
length of park: 4x
width + path width = x + 66
length + path width = 4x + 66
area = (x + 66)(4x + 66)
area = 4x^2 + 66x + 264x + 4356
area = 4x^2 + 330x + 4356
A(x) = 4x^2 + 330x + 4356
Answer:
176 reams in 11 cases
Step-by-step explanation:
1 = 16
1 x 11 = 11
16 x 11 = 176