Polynomials Operations and Applications

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15

Classify by degree of polynomial:
-2x² – x

• Constant

• Linear

• Quadratic

• Cubic

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

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