Solving Quadratic Equations by Factoring

What is the zero product property used for in solving quadratic equations?

• To simplify the quadratic formula

• To find the sum of the roots

• To determine when a product of factors equals zero

• To calculate the discriminant

If a quadratic equation is factored as (K + 1)(K - 5) = 0, what are the possible values of K?

• K = 1 and K = 5

• K = 1 and K = -5

• K = 0 and K = 5

• K = -1 and K = 5

In the equation (a + 1)(a + 2) = 0, what are the solutions for a?

• a = 1 and a = -2

• a = -1 and a = -2

• a = 1 and a = 2

• a = 0 and a = -2

For the equation 4K + 5 = 0, what is the value of K?

• K = -4/5

• K = -5/4

• K = 5/4

• K = 4/5

What is the solution for M in the equation 2M + 3 = 0?

• M = -3/2

• M = -2/3

• M = 2/3

• M = 3/2

How do you factor the quadratic equation x^2 - 11x + 24 = 0?

• (x - 3)(x - 8)

• (x + 3)(x + 8)

• (x + 4)(x + 6)

• (x - 4)(x - 6)

What are the solutions for N in the equation N^2 + 7N + 10 = 0?

• N = 1 and N = 10

• N = -1 and N = -10

• N = 2 and N = 5

• N = -2 and N = -5

In the equation N^2 - 10N + 24 = 0, what are the factors?

• (N - 4)(N - 6)

• (N + 4)(N + 6)

• (N - 3)(N - 8)

• (N + 3)(N + 8)

What are the solutions for N in the equation N^2 + 3N - 18 = 0?

• N = -3 and N = 6

• N = 3 and N = -6

• N = 3 and N = 6

• N = -3 and N = -6

What is the next step after setting a quadratic equation to zero?

• Solve using the quadratic formula

• Graph the equation

• Factor the equation

• Find the vertex