Polynomials Problems

A triangle has a height of x and a base 4 units longer than twice the height. What is a polynomial that you can write to find the area given the height?

Type your answer with NO spaces and use ^ if putting in a power!

Write a polynomial that represents the area of the shaded region in the diagram.

A square garden is surrounded by a walkway with a width of x.

How much area does the walkway alone cover?

A box is created from a square piece of cardboard by cutting a square from each corner and then folding up the sides.

What would be the total volume, in standard form, that the pictured cardboard could hold?

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

Mathematical Equivalence

OFF

How many terms does a trinomial have?

• 1

• 2

• 3

• 4 or more

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

Mathematical Equivalence

OFF

Multiply:
(r + 7)(r − 7)

• r ² − 49 

• r ² + 14

• r ² − 7r + 49 

(3x – 1)(x + 5)

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Find the product:
(x + 12)(x - 12)

• x² - 144

• x² + 144

• x² + 12x - 144

• x² - 12x + 144