Question

he polynomial 4x3 -8x2 -11x - 3 represents the volume in cubic feet of a rectangular fish tank,. The area of the base can be expressed by the polynomial 4x2 + 4x + 1. Find an expression for the height of the fish tank.

Select one:
a. 2x + 1
b. x - 3
c. x + 3
d. x2 + 2x + 1

Answer 1

@AccessDenied @terenzreignz

Answer 2

b

Answer 3

How did you get that answer?

Answer 4

multiplied area by the snwer choices

Answer 5

I believe your answer is correct.

A remark, if answers are not given though.
You can divide the volume by area of the base to find height in this case.
Volume = Area_base * height
Volume / Area_base = height
Simplifying the quotient requires long division or factoring and some trickier synthetic division. So it seems your way is possibly faster. (But faster yet, you could use remainder thm to substitute x=3 and check that P(3) = 0 as this implies that x-3 divides P(x)).

Answer 6

ok