Factoring Perfect Square Trinomials Quiz

What is a perfect square?

• A number that can be subtracted from itself to get zero

• A number that can be divided by 2

• A number that can be added to itself to get another number

• A number that can be multiplied by itself to get another number

Which of the following is an example of a perfect square trinomial?

• x^2 + 9x + 20

• x^2 + 8x + 15

• x^2 + 10x + 25

• x^2 + 10x + 24

How do you determine if a trinomial is a perfect square trinomial?

• Check if all terms are even numbers

• Check if the middle term is a perfect square

• Check if the first term is a perfect square and the last term is zero

• Check if the first and last terms are perfect squares and the middle term is twice the product of their roots

What is the factored form of x^2 + 12x + 36?

• (x + 9)^2

• (x + 4)^2

• (x + 6)^2

• (x + 3)^2

Which of the following trinomials is NOT a perfect square trinomial?

• x^2 + 10x + 25

• x^2 + 15x + 36

• x^2 + 16x + 64

• x^2 + 14x + 49

What is the factored form of 4x^2 - 4x + 1?

• (2x - 1)^2

• (4x + 1)^2

• (4x - 1)^2

• (2x + 1)^2

What is the first step in solving a perfect square trinomial equation?

• Multiply all terms by 2

• Set the equation equal to zero

• Add 5 to both sides

• Divide all terms by the leading coefficient

If x^2 + 8x + 16 = 0, what is the value of x?

• x = 0

• x = 8

• x = 4

• x = -4

What is the solution to the equation (x - 3)^2 = 0?

• x = 3

• x = -3

• x = 6

• x = 0

In the equation 9x^2 - 12x + 4 = 0, what is the value of x?

• x = 2/3

• x = -2/3

• x = -3/2

• x = 3/2