The volume of a rectangular prism is defined by the function, V(x) = x3 + 5x2 - 2x - 24. Use the zeros of the function to repres

Question

tatyana61 [14]

3 years ago

8

The volume of a rectangular prism is defined by the function, V(x) = x3 + 5x2 - 2x - 24. Use the zeros of the function to repres

ent the volume of the prism, V(x), as the product of its linear factors.

Mathematics

1 answer:

Alexxx [7] · Answer 1 · 2022-03-20T20:12:32+03:00

We have that
V(x) = x³ + 5x²<span> - 2x - 24

using a graph tool-------> to find the </span><span>zeros of the function
see the attached figure

we know that
the </span>zeros of the function is when V(x)=0

the solution is
x=-4
x=-3
x=2
so
V(x)=(x+4)*(x+3)*(x-2)

the answer is
V(x)=(x+4)*(x+3)*(x-2)