Solving Quadratic Equations by Factoring

What is a common alternative to using graphing methods for solving quadratic equations?

• Completing the square

• Using a scientific calculator

• Factoring

• Using the quadratic formula

What property is used to solve quadratic equations once they are factored?

• Zero product property

• Associative property

• Commutative property

• Distributive property

If a quadratic equation is factored as (x - 5)(x + 3) = 0, what are the solutions for x?

• x = 5, x = -3

• x = 5, x = 3

• x = -5, x = -3

• x = -5, x = 3

What does it mean if a quadratic equation does not have any real solutions after factoring?

• It has complex solutions

• It is always factorable

• It has a repeated root

• It is not factorable

In the context of quadratic equations, what does writing an equation in 'standard form' help with?

• Solving the equation numerically

• Simplifying the equation

• Graphing the equation

• Factoring the equation

What is the correct set of solutions for the equation x^2 + 9x + 20 = 0?

• x = -4, x = -5

• x = 4, x = 5

• x = -4, x = 5

• x = 4, x = -5

How do you determine the width of the outer steel wall in the museum vault problem?

• By estimating from similar vaults

• By setting up an equation based on area

• By measuring directly

• By consulting architectural plans

What is the width of the outer steel wall if the total area including the wall is 1664 square feet and the dimensions inside the wall are 40 feet by 20 feet?

• 6 feet

• 10 feet

• 12 feet

• 8 feet

What is the result of factoring the quadratic equation x^2 + 30x - 216 = 0?

• x - 18, x + 12

• x + 36, x - 6

• x + 18, x - 12

• x - 36, x + 6

What is the vertex of the parabola represented by the equation (x + 8)^2 = 0?

• x = 8

• x = -8

• x = 0

• x = 16