The volume of a rectangular solid is (×^3+3×^2+2×-5) cubic cm, and its height is (×+1) cm. What is the area of its base?
(x+1) A = x^3 + 3 x^2 + 2 x - 5
divide both sides by (x+1)
x^2 + 2 x - 5/(x+1)
either you do remainders or you have a typo
To find the area of the base of a rectangular solid, we need to divide its volume by its height. In this case, the volume of the rectangular solid is given as (×^3+3×^2+2×-5) cubic cm and the height is given as (×+1) cm.
To find the area of the base, we divide the volume by the height. Let's do that step by step:
Step 1: Rewrite the given expression for the volume of the rectangular solid as a polynomial in a simplified form:
Volume = (×^3 + 3×^2 + 2× - 5) cubic cm
Step 2: Divide the volume expression by the height expression:
Area of base = Volume / Height
= (×^3 + 3×^2 + 2× - 5) / (× + 1)
At this point, we have simplified the problem to finding the area of the base, which is given by the expression (×^3 + 3×^2 + 2× - 5) divided by (× + 1). However, note that we cannot calculate the exact numerical value without knowing the value of ×.
If you provide the specific value for ×, we can substitute it into the expression and solve for the area of the base.