Completing the Square Using Algebra

This lesson teaches how to complete the square using algebra. It begins with a review of quadratic expressions and identifying the coefficients A, B, and C. The lesson then explains how to determine if an expression is a perfect square and how to factor it using a specific formula. The process of transforming quadratic equations by completing the square is demonstrated, including handling cases with negative B values. By the end, students should understand the steps to complete the square and factor quadratic equations effectively.

What is the value of A, B, and C in the expression X^2 - 6X + 9?

Explain the first step to determine A, B, and C in a quadratic expression.

How do you find the value of C when completing the square?

What is the formula used to factor a perfect square?

Describe the process of transforming the quadratic equation X^2 + 4X + something = 5.

What steps are involved in completing the square for the equation X^2 - 4X - 1 = 0?

Summarize what you learned about completing the square using algebra.