williwonka41
williwonka41 williwonka41
  • 02-03-2021
  • Mathematics
contestada

A right rectangular prism has a volume of
[tex] {6x}^{3} - {3x}^{2} - 45x[/tex]
What are expressions for the length, width, and height?​

Respuesta :

AnimalPost
AnimalPost AnimalPost
  • 02-03-2021

Answer:

3x, 2x + 5, and x - 3

Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

3x (2x² - x - 15)

Now, after completing the square and factoring:

3x (2x + 5) (x - 3)

These are our three expressions.

Answer Link

Otras preguntas

What all the multiples of 81?
a lunch bill including tax, is divided among you and 5 friends. everyone pays less than $8.75. write and solve an inequality that describes the total amount of
Factor the expression. If the expression cannot be factored, say so.
Does an owl have a backbone?
What is the creepiest sounding scale? What scale would u use for writing creepy music in other words
Thelma spent 1/6 of her weekly allowance on dog toys.  1/4 on a dog collar and 1/3 on dog food.  What fraction of her weekly allowance is left
Thelma spent 1/6 of her weekly allowance on dog toys.  1/4 on a dog collar and 1/3 on dog food.  What fraction of her weekly allowance is left
Does an owl have a backbone?
Factor the expression. If the expression cannot be factored, say so.
find the sum. write each mixed number in simplest form 4 7/8 + 5 1/4