Applications of Polynomials

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

What is the perimeter for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

Find the width for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2

• x + 4
• 2x² + 4x – 6
• x - 4
• x + 4 - 16/(2x-2)

Tags

CCSS.HSA.APR.D.6

An open box is to be made from a 2-foot by 3-foot rectangular piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made in this manner.

• 0.392 ft³

• 2.683 ft³

• 1.056 ft³

• 0.4140 ft³

You are drawing a rectangle with side lengths of (3 – x) inches and (x – 7) inches.

What is the value of x that will maximize this drawing?

What is the maximum area that can be obtained from this drawing?

• x = 3

  max area = 7 in²

• x = 5

  max area = 4 in²

• x = 7

  max area = 3 in²

• x = 4

  max area = 5 in²

• 2x²+20x+32

• x²+10x+16

• 4x²+40x+64

• x²+32x+16

Tags

CCSS.HSA.APR.A.1

BONUS QUESTION: The length of your storage crate is 2 meters greater than its width, and its height is 1 meter greater than its width. If the volume if 24 cubic meters, find the width, length, and height.

• width = 2m

  length = 4m

  height = 3m

• width = 1m

  length = 6m

  height = 4m

• width = 2m

  length = 6m

  height = 2m

• width = 3m

  length = 4m

  height = 2m