Question 1

Which of the following is the correct way to solve the quadratic equation $$x^2 + 6x + 8 = 0$ using factoring?

Accepted Answer

Factor as $$(x + 2)(x + 4) = 0$$, so $$x = -2 or$$ $$x = -4$$

Question 2

What is the sum of the roots of the equation $$x^2 + 6x + 8 = 0$?

Accepted Answer

$$-6$$

Question 3

If $$x^2 + 6x + 8 = 0$ models the height of a projectile (in meters) after x$ seconds, what does the solution x = -2$ represent in a real-world context?

Accepted Answer

A time before the projectile was launched, which is not physically meaningful

Question 4

Which method can be used to solve $$x^2 + 6x + 8 = 0$ if factoring is not possible?

Accepted Answer

Quadratic formula: $$x = \frac{-b \pm \sqrt{b^2$ - 4ac}}{2a}$$

Question 5

What are the roots of $$x^2 + 6x + 8 = 0$ using the quadratic formula?

Accepted Answer

$$x = -2$$ and $$x = -4$$

Question 6

If $$x^2 + 6x + 8 = 0$ represents the balance of a bank account over time, what does the equation's solution tell you?

Accepted Answer

The times when the account balance is zero

Question 7

Which of the following statements is true about the discriminant of $$x^2 + 6x + 8 = 0$?

Accepted Answer

The discriminant is positive, so there are two real solutions

Question 8

If you graph $$y = x^2$ + 6x + 8$$, where does the graph intersect the $$x-$$axis?

Accepted Answer

At $$x = -2$$ and $$x = -4$$

Question 9

What is the vertex of the parabola $$y = x^2$ + 6x + 8$$?

Accepted Answer

At $$x = -3$$, $$y = -1$$

Question 10

Which of the following best describes the axis of symmetry for $$y = x^2$ + 6x + 8$$?

Accepted Answer

$$x = -3$$

Solving Quadratic Equations by Factoring

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