Mastering the Technique of Completing the Square

What is the B value in the quadratic equation given by Mrs. Valentina?

• 9

• 7

• 5

• 3

Which method can be used to expand the quadratic expression (X + 1)^2?

• Box Method

• FOIL

• Both FOIL and Box Method

• None

What is the result of expanding (X + 2)^2 using the box method?

• X^2 + 6X + 4

• X^2 + 2X + 2

• X^2 + 4X + 4

• X^2 + 4X + 2

What pattern should you look for when factoring perfect square trinomials?

• The middle term is the product of the first and last terms

• The middle term is the sum of the first and last terms

• The middle term is twice the product of the square roots of the first and last terms

• The middle term is the difference of the first and last terms

What is the first step in completing the square?

• Divide the middle term by 2

• Square the middle term

• Multiply the middle term by 2

• Subtract the middle term

What is the result of completing the square for the quadratic equation with a middle term of -10?

• 100

• 50

• 25

• 36

What is the final factored form of the quadratic equation after completing the square for a middle term of -12?

• (X + 6)(X + 6)

• (X - 6)(X + 6)

• (X - 12)(X - 12)

• (X - 6)(X - 6)

What is the value that completes the square for a middle term of 20?

• 200

• 100

• 50

• 25

What is the final factored form of the quadratic equation after completing the square for a middle term of 20?

• (X + 10)(X + 10)

• (X + 20)(X + 20)

• (X + 10)(X - 10)

• (X - 10)(X - 10)

What is the purpose of completing the square?

• To make both factors the same

• To make both factors different

• To find the roots of the equation

• To simplify the equation