Factoring and Solving Quadratic Equations

The video tutorial explains how to factor the quadratic equation x^2 + 8x + 15 = 0. It begins by setting up a skeleton equation and adding the appropriate signs. The tutorial then demonstrates finding factors of the last term that add up to the middle term. The factorization is verified using the FOIL method. Finally, the video shows how to solve for X values that satisfy the equation, confirming the results with the quadratic formula.

What is the first step in factoring the equation x^2 + 8x + 15 = 0?

• Graph the equation

• Use the quadratic formula

• Find the roots of the equation

• Set up a skeleton equation

When both signs in the equation are positive, what should you do?

• Add a negative sign

• Add a positive sign

• Add a zero

• Add a multiplication sign

Which pair of numbers are the factors of 15 that add up to 8?

• 1 and 15

• 4 and 4

• 2 and 7

• 3 and 5

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

• Graphing method

• FOIL method

• Elimination method

• Substitution method

What is the result of combining 5x and 3x in the verification process?

• 10x

• 5x

• 8x

• 15x

What value of x makes the factor (x + 3) equal to zero?

• -5

• 3

• 5

• -3

What value of x makes the factor (x + 5) equal to zero?

• -3

• 5

• 3

• -5

What is the purpose of setting each factor to zero in the equation?

• To find the vertex

• To find the y-intercept

• To find the x-intercepts

• To find the slope

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

• Graphing method

• Quadratic formula

• Substitution method

• Elimination method