Solving Quadratic Equations by Factoring Techniques

What is the result of factoring the expression x^2 - 9 using the difference of squares?

• x - 3 and x + 9

• x^2 + 9

• Cannot be factored

• x + 3 and x - 3

Which of the following is a perfect square trinomial?

• x^2 + 6x + 9

• x^2 + 6x - 9

• x^2 - 6x + 9

• x^2 - 6x - 9

What does the expression (x + 10)(x - 10) simplify to using the FOIL method?

• x^2 + 10

• x^2 - 100

• x^2 + 100

• x^2 - 10

If you factor x^2 - 16, what are the factors?

• Cannot be factored

• x + 4 and x - 4

• x + 16 and x - 16

• x^2 + 16

What is the factored form of x^2 - 64?

• Cannot be factored

• x + 8 and x - 8

• x^2 + 64

• x - 8 and x + 64

How do you factor the expression x^2 + 6x + 9?

• Cannot be factored

• x^2 - 9

• (x - 3)^2

• (x + 3)^2

What is the result of applying the difference of squares to x^2 - 100?

• x + 10 and x - 10

• x - 10 and x + 100

• Cannot be factored

• x^2 + 100

Which expression represents a difference of squares?

• x^2 + 25

• x^2 + x - 25

• x^2 - 25

• x^2 - x + 25

What is the factored form of x^2 - 121?

• Cannot be factored

• x - 11 and x + 121

• x^2 + 121

• x + 11 and x - 11

Which of the following is not a method used for factoring quadratic equations?

• FOIL method

• Perfect square trinomial

• Difference of squares

• Difference of cubes