An engineer is redesigning a set of cases for computer equipment. one is a cube with side lengths of x inches and the other is a rectangular prism whose size is dependent on the size of the cube.
The volume of the prism is modeled by function v.
v(x) = x^3 -13x^2+35x

(image of graph)

Use the x-incepts to write the factored form of the equation representing the volume of the prism.

v(x) = ???

An engineer is redesigning a set of cases for computer equipment one is a cube with side lengths of x inches and the other is a rectangular prism whose size is class=

Respuesta :

Answer:

v(x)=x(x-7)(x-5)

Step-by-step explanation:

The volume of the prism is modeled by v(x) = x³ - 13x² + 35x

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.

Given the equation:

  • v(x) = x³ - 13x² + 35x

From the graph the x intercept is the point at which the polynomial touches the x axis. We can see it at:

x = 0, 5, 7

x = 0; x = 5; x = 7

x = 0; x - 5 = 0; x - 7 = 0

v(x) = x(x - 5)(x - 7)

The volume of the prism is modeled by v(x) = x³ - 13x² + 35x

Find out more on polynomial at: https://brainly.com/question/2833285