Completing The Square - Quadratics

This video tutorial covers the quadratic formula and introduces the method of completing the square. It provides a detailed example of completing the square, explaining the necessity of subtracting the square of the bracket number. The tutorial also addresses how to handle cases where the coefficient of X^2 is not one. The video concludes with a preview of upcoming parts that will explore solving and graphing quadratics using the completing the square method.

What is one benefit of completing the square when solving quadratic equations?

• It eliminates the need for a graph.

• It provides an alternative to factoring.

• It always results in integer solutions.

• It simplifies linear equations.

In the process of completing the square, why do we subtract the square of the bracket number?

• To ensure the equation remains balanced.

• To make the equation easier to factor.

• To convert the equation into a linear form.

• To eliminate the x term.

What is the first step when completing the square for an equation where the x^2 term has a coefficient other than one?

• Multiply the entire equation by the coefficient.

• Factor out the coefficient from the x^2 and x terms.

• Add the constant term to both sides.

• Subtract the coefficient from the constant term.

When completing the square, what do you do after factoring out the coefficient from the x^2 and x terms?

• Square the x term and add it to both sides.

• Multiply the entire equation by the coefficient.

• Complete the square inside the bracket.

• Add the constant term to the equation.

What is the result of completing the square for the expression 3x^2 - 12x + 2?

• 3(x + 2)^2 + 10

• 3(x - 2)^2 + 10

• 3(x - 2)^2 - 10

• 3(x + 2)^2 - 10