Factoring Quadratic Equations Concepts

The video tutorial demonstrates how to factor the quadratic equation x^2 - 8x + 12. It begins by setting up a skeleton equation and identifying the factors of the last term that add up to the middle term. The tutorial then verifies the factored equation using the FOIL method and finds the roots by setting each factor to zero. The process is confirmed to be correct, and the same results are shown to be obtainable using the quadratic formula.

What is the first step in factoring the equation x^2 - 8x + 12?

• Check with the FOIL method

• Use the quadratic formula

• Find the roots

• Set up a skeleton equation

When the middle term is negative, what should the skeleton equation look like?

• x - and x +

• x + and x -

• x - and x -

• x + and x +

Which pair of numbers are the correct factors of 12 that add up to 8?

• 4 and 8

• 3 and 4

• 1 and 12

• 2 and 6

What method is used to verify the factored equation?

• FOIL method

• Quadratic formula

• Graphing

• Completing the square

What is the result of combining the terms -6x and -2x?

• 8x

• 0

• -8x

• -4x

What value of x makes the factor x - 2 equal to zero?

• 2

• 6

• 0

• 8

What value of x makes the factor x - 6 equal to zero?

• 0

• 2

• 8

• 6

What are the roots of the equation x^2 - 8x + 12?

• 3 and 4

• 0 and 8

• 2 and 6

• 1 and 12

Which method can also confirm the roots of the equation?

• Graphing

• Completing the square

• Synthetic division

• Quadratic formula