word problem with x3+6x2-x-30 polynomial

Question

Compose word problem using polynomial function

Answer 1

x^3+6x^2-x-30=(x+5)(x+3)(x-2) so this polynomial could represent the volume of a rectangular prism with sides x+5, x+3 and x-2: QUESTION EXAMPLE: What polynomial would be used to represent the volume of a rectangular prism with sides x+5 cm, x+3 cm and x-2 cm?

QUESTION EXAMPLE: What is the surface area of a rectangular prism with volume x^3+6x^2-x-30 cubic cm?

QUESTION EXAMPLE: If V(x)=x^3+6x^2-x-30 represents the volume of a rectangular prism, show that its surface area is twice the derivative V'(x).

QUESTION EXAMPLE: What are the zeroes of x^3+6x^2-x-30?

QUESTION EXAMPLE: What polynomial has zeroes 2, -3, -5?