The area of a rectangle is represented by the function x3 − 3x2 − 40x + 84. the width of the rectangle is x − 7. find the expression representing the length of the rectangle.
x2 + 4x − 12
x2 + 8x + 12
x2 + 2x − 24
x2 + 10x + 14

a is the answer x^2+4x-12

For this case we have that by definition, the area of a rectangle is given by:

Where:

w: It is the width

l: It is the length

According to the data we have to:

Then l = \ frac {x ^ 3-3x ^ 2-40x + 84} {x-7}

According to the attached figure we have that the quotient is

So, the length is

Option A

step-by-step explanation:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )