Solving Quadratic Equations by Factoring Answers

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?

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

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

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

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?

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

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

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?

The solutions to the equation are or

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