Polynomial Applications

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the area of a rectangle with length (x - 5) and width (x + 3)?

Back

The area is x^2 - 2x - 15.

Front

How do you find the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Front

What is the perimeter of a triangle with sides 2x^2 + 12x, x^3 - 8x + 7, and a missing side?

Back

The perimeter is 3x^3 + 4x^2 + 8x + 15.

Front

What is the area of a square with side length (x + 4)?

Back

The area is x^2 + 8x + 16.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a rectangular prism with length (x + 2), width (x - 4), and height (2x + 1)?

Back

The volume is 2x^3 - 3x^2 - 18x - 8.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the area of a square?

Back

Area = side length × side length.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their exponents.