Application of Polynomial Operations

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

What is the perimeter for the given rectangle:

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

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)

Find the perimeter for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2.
(Hint: First find the length)

• x + 4

• 6x + 4

• x - 4

• 3x + 2

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

OFF

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

OFF

The perimeter of the triangle is 3x³ + 4x² + 8x + 15. If the shortest side is  2x² + 12x, the longest side (the hypotenuse) is x³ – 8x + 7, then what is the missing side length?

• 2x³ + 2x² + 4x + 8

• 4x³ + 6x² + 12x + 22

• 2x³ + 6x² + 28x + 8

• 4x³ + 2x² - 12x + 22

A square has a side length of x + 4. What is the area of the square?

• x² + 16

• x² + 8x + 16

• 4x + 16

• x² - 8x + 16

A rectangular garden has an area of 4x² - 64. What are the dimensions of the garden?
(Hint: Factor)

• (2x + 8) by (2x - 8)

• (2x + 8) by (2x + 8)

• (2x - 8) by (2x - 8)

• Prime

A pool has a length of x - 5 and a width of x + 3. What is the area of the pool?

• x² - 2x - 15

• x² - 8x + 15

• x² + 2x - 15

• x² + 8x + 15