Completing the Square and Factoring Quadratics

What is the first step in solving a quadratic equation by completing the square?

• Add the B term to both sides

• Multiply the equation by 2

• Take the square root of both sides

• Move the constant term to the other side

How do you determine the value to add to both sides when completing the square?

• Square the constant term

• Subtract the B term from the constant

• Take half of the B term and square it

• Double the B term

What is the vertex of the parabola after completing the square for the equation x^2 - 12x = -27?

• (-6, 9)

• (-6, -9)

• (6, -9)

• (6, 9)

After completing the square, what is the next step to solve for x?

• Add the B term to both sides

• Take the square root of both sides

• Multiply both sides by 2

• Subtract the constant term from both sides

What are the solutions to the equation x^2 - 12x + 36 = 9 after factoring?

• x = 6 and x = -3

• x = 9 and x = 3

• x = 6 and x = 3

• x = 9 and x = -9