Polynomials Volume Box

The function  $g\left(x\right)=2x^3+8x^2-22x\ -60$  can be written in factored form. Which factored for equation is equivalent to g(x).

•  $g\left(x\right)=2\left(x+3\right)\left(x-5\right)\left(x+2\right)$  

•  $g\left(x\right)=2\left(x+3\right)\left(x-5\right)\left(x-2\right)$  

•  $g\left(x\right)=2\left(x-3\right)\left(x+5\right)\left(x+2\right)$  

•  $g\left(x\right)=2\left(x-3\right)\left(x-5\right)\left(x+2\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What is the volume equation that models all of the boxes that can be from the piece of cardboard? Choose all that apply.

• $v\left(x\right)=\left(30-2x\right)\left(16-2x\right)x$

• $v\left(x\right)=4x^2-92x+480$

• $v\left(x\right)=4x^3-92x^2+480x$

• $v\left(x\right)=4x^3+92x^2-480x$

Given the open top box, what is the maximized volume of the box?

• 2

• 3

• 4

• 5

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What are the dimensions that maximize the volume?

• 16cm x 30cm x 0cm

• 23cm x 9cm x 3 cm

• 8cm x 15cm x 4cm

• 23.3cm x 9.3cm x 3.3cm

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.3

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What is the maximized the volume?

•  $480\ cm^3$  
  

•  $621\ cm^3$  

•  $730\ cm^3$  
  

•  $725\ cm^3$