Solving Quadratic Equations by Factoring Answers

The square of 9 less than a number is 3 less than the number. What is the number?

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

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

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t2. How long after launch does the projectile return to the ground?

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

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?

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?

What are the solutions to the equation 3(x – 4)(x + 5) = 0?