Polynomials

7x^2 + 5x + 4

The expression (5x^2 + 2x + 3) represents the area of a square. The area of a rectangle is represented by (2x^2 + 3x + 1). Which expression represents the combined area of the square and rectangle?

6x^2 - x - 12

The length and width of a rectangular park are determined by the polynomials (3x + 4) and (2x - 3). What is the area of the park?

4x^3 - 16x^2 + 15x

The length, width, and height of a right rectangular prism are (5 - 2x) feet, (3 - 2x) feet, and x feet, respectively. Which expression represents the volume of the prism?

6x^2 + 84x + 294

The side length of a cube is (x + 7). What is the surface area?

-6x^2 + 11x - 4

Which expression is equivalent to (2x - 1)(-3x + 4)?

4x^2 − 20x + 25

Which expression is equivalent to (2x − 5)^2?

6x^2 - 5x - 4

Which expression is equivalent to (2x^2 - 3x + 1) + (4x^2 - 2x - 5)?

2x^2 + 5x -1

Which expression is equivalent to (3x^2 + 1) - (x^2 - 5x + 2)?

6x^2 - 2x + 3

Which expression is equivalent to (7x^2 - 5x + 1) - (x^2 - 3x - 2)?

x^2 + x - 30

Which expression is equivalent to (x + 6)(x - 5)?

6x^2 + 11x - 35

Which expression is equivalent to the product of 3x - 5 and 2x + 7?

2x + 6

A triangle has side lengths of 5x + 3 inches and 2x + 3 inches. If the perimeter of the triangle is 9x + 12 inches, which expression represents the length, in inches, of the third side of the triangle?