Factoring and Verifying Equations

The video tutorial explains how to factor the quadratic equation x^2 + 12x + 32. It begins by introducing the concept of a skeleton equation and adding appropriate signs. The tutorial then demonstrates finding factors of the last term, 32, that add up to the middle term, 12. The factorization is verified using the FOIL method. Finally, the video shows how to solve for X values that make the equation equal zero, confirming the results with the quadratic formula.

What is the first step in factoring the equation x^2 + 12x + 32?

• Use the quadratic formula

• Multiply all terms by 2

• Set up a skeleton equation

• Find the roots of the equation

When adding signs to the skeleton equation, what signs are used if all terms are positive?

• Minus and plus

• Minus and minus

• Plus and minus

• Plus and plus

Which pair of numbers are factors of 32 that add up to 12?

• 6 and 6

• 8 and 4

• 10 and 2

• 16 and -4

What method is used to verify the factorization of the equation?

• Graphical method

• Completing the square

• FOIL method

• Substitution method

What is the result of combining 4x and 8x in the FOIL method?

• 8x

• 4x

• 12x

• 16x

What value of x makes the equation (x + 8)(x + 4) equal to zero?

• x = 8

• x = -8

• x = -4

• x = 4

If x = -4, what is the value of the equation (x + 8)(x + 4)?

• 8

• -16

• 16

• 0

What method can also be used to verify the roots of the equation?

• Graphical method

• Quadratic formula

• Substitution method

• Completing the square

What is the final step in verifying the factorization of the equation?

• Checking with the quadratic formula

• Rewriting the equation

• Simplifying the equation

• Graphing the equation