Completing the Square Concepts

The video tutorial explains how to find an equivalent expression for x squared minus six x plus four by completing the square. It involves adding and subtracting nine to form a perfect square trinomial, which is then factored into two factors of x minus three. The final expression is the square of x minus three minus five, leading to the conclusion that the answer is option D.

What is the initial expression that needs to be transformed by completing the square?

• x squared plus six x plus four

• x squared minus six x plus four

• x squared plus six x minus four

• x squared minus six x minus four

What is the value of b in the expression x squared minus six x plus four?

• 6

• -6

• -3

• 3

What value is added and subtracted to complete the square for the expression x squared minus six x?

• 9

• 3

• 6

• -9

What is the perfect square trinomial formed in the process?

• (x - 6)^2

• (x + 3)^2

• (x - 3)^2

• (x + 6)^2

What is the final equivalent expression after completing the square?

• (x + 3)^2 + 5

• (x + 3)^2 - 5

• (x - 3)^2 - 5

• (x - 3)^2 + 5