Solving Quadratic Equations by Factoring Answers

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

What are the solutions to the equation (2x – 5)(3x – 1) = 0?

The square of a number is 12 less than 7 times the number. What is the number?

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?

The solutions to the equation are or

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

What are the solutions to the equation (x – 6)(x + 8) = 0?

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What does the value of x in her solutions represent?