Solving Quadratic Equations by Factoring

Question 1

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

Revolt · Accepted Answer

x = 3 or x = 10

Question 2

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

Revolt · Accepted Answer

7 or 12

Question 3

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?

Revolt · Accepted Answer

two possible amounts by which the dimensions were changed

Question 4

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

Revolt · Accepted Answer

x = –6 or x = 1

Question 5

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?

Revolt · Accepted Answer

mc013-1.jpg

Question 6

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

Revolt · Accepted Answer

x = 3 or x = 4

Question 7

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?

Revolt · Accepted Answer

170 m

Question 8

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

Revolt · Accepted Answer

x = 4 or x = –5

Question 9

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

Revolt · Accepted Answer

3 or 4

Solving Quadratic Equations by Factoring Answers

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