Factoring Quadratic Equations

The video tutorial explains how to factor the equation x squared minus 6x equals negative 8. It begins by reformatting the equation to have all terms on one side, resulting in x squared minus 6x plus 8 equals zero. The tutorial then demonstrates finding factors of the last term, 8, that add up to the middle term, negative 6. The correct factors are identified as negative 4 and negative 2, which multiply to give positive 8 and add to give negative 6. The video concludes with a reminder to reformat equations into a workable format and provides links for further steps.

What is the first step in factoring the equation x^2 - 6x = -8?

• Multiply both sides by 2

• Add 8 to both sides

• Divide both sides by x

• Subtract 6 from both sides

After adding 8 to both sides, what does the equation become?

• x^2 - 6x = 0

• x^2 - 6x + 8 = 0

• x^2 - 6x - 8 = 0

• x^2 - 6x + 16 = 0

What is the purpose of transforming the equation to x^2 - 6x + 8 = 0?

• To simplify the equation

• To make it easier to factor

• To change the equation type

• To eliminate the x term

What are the factors of 8 that add up to -6?

• -8 and 2

• -4 and -2

• 4 and 2

• 8 and 1

Which of the following is a correct factorization of x^2 - 6x + 8?

• (x - 4)(x - 2)

• (x + 4)(x - 2)

• (x - 8)(x + 2)

• (x + 4)(x + 2)

Why is it important to find factors that add up to the middle term?

• To verify the solution

• To ensure the equation is balanced

• To simplify the equation

• To correctly factor the equation

What additional resource is mentioned at the end of the video?

• A website

• A link to another video

• A PDF guide

• A textbook