Factoring Quadratic Equations and Verification

The video tutorial demonstrates how to factor the quadratic equation x^2 + 5x - 36. It begins by setting up a skeleton equation and adding appropriate signs. The instructor then finds factors of -36 that sum to 5, leading to the correct factorization. The factorization is verified using the FOIL method. Finally, the video shows how to solve for x, confirming the solutions with the quadratic equation. The tutorial concludes with a summary of the process.

What is the first step in factoring the equation x^2 + 5x - 36?

• Add the signs to the equation

• Set up the skeleton equation

• Find the factors of the last term

• Use the quadratic formula

When adding signs to the skeleton equation, what should be considered?

• The sign of the last term

• The sum of the factors

• The coefficient of x

• The value of x

Which pair of numbers are the correct factors of -36 that sum to 5?

• 3 and 12

• 2 and 18

• 6 and -6

• 9 and -4

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

• Graphing

• FOIL method

• Quadratic formula

• Completing the square

What is the value of x when x + 9 = 0?

• -4

• -9

• 4

• 9

What is the value of x when x - 4 = 0?

• -4

• -9

• 9

• 4

If you substitute x = -9 into the equation, what should the result be?

• -36

• 36

• 0

• 5

If you substitute x = 4 into the equation, what should the result be?

• 5

• -36

• 0

• 36

What alternative method can be used to verify the solution of the equation?

• Synthetic division

• Graphing

• Quadratic formula

• Completing the square

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

• Using the quadratic formula

• Rewriting the equation

• Checking the signs

• Substituting the values of x