SOLUTION: Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5 cm. The volume in cubic centimeters, V, of this box is

Question 1202704: Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5 cm. The volume in cubic centimeters, V, of this box is given as V(x) = 3x^3+24x^2+15x-150. Write a combined function to represent the area of the base, A(x), if the side length of the base is x + 5.
A(x) is x^2+10x+25
b) Determine the combined function h(x)=V(x)/A(x). Hint: Express h(x) in simplified form. What does this function represent in the context of the scenario?
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
The description indicates you have all you need to solve the problem's question/s.

for V.

Synthetic division, twice for 'checking' root -5, ------------------------- -5 | 1 8 5 -50 | -5 -15 50 |__________________________ 1 3 -10 0 -5 | 1 3 -10 | -5 10 |_________________________ 1 -2 0

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Hint: factors to
You can use the rational root theorem to determine this.

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