Completing the Square with a > 1: Using Models and Symbols

This video tutorial teaches how to transform quadratic equations when the coefficient 'a' is greater than one. It covers reviewing quadratic expressions, building and factoring perfect squares, and completing the square using both area models and traditional methods. The lesson emphasizes understanding the transformation process and applying it to different quadratic equations.

What is the main focus of transforming quadratic equations when 'a' is greater than one?

• Graphing linear functions

• Solving cubic equations

• Comparing area models with symbols

• Using linear equations

In the expression X^2 + 6X + 9, what are the values of a, b, and c?

• a = 1, b = 5, c = 6

• a = 2, b = 5, c = 8

• a = 2, b = 6, c = 9

• a = 1, b = 6, c = 9

How do you determine the value of 'a' in a quadratic expression?

• Subtract the constant term

• Add the coefficients of X and X squared

• Count the number of X squared terms

• Count the number of X terms

What is the first step in factoring a perfect square?

• Double the B term

• Square the constant term

• Take half of the B term and square it

• Subtract the constant term

When completing the square, why do you add 8 instead of 4 in the equation 2X^2 + 8X + something = 5?

• Because 8 is a perfect square

• Due to the distributive property

• To balance the equation

• Because two times four equals eight

What is the purpose of setting the equation to zero in the completing the square method?

• To find the roots of the equation

• To eliminate the constant term

• To simplify the equation

• To make the equation easier to graph

In the area model, how is X + 1 * X + 1 rewritten?

• X^2 + 1

• X + 1^2

• X^2 + 2X + 1

• X + 1