The document presents a guessing game with multiplication problems that equal 0, followed by instructions to solve a quadratic equation by factoring or checking solutions. It then provides two examples of writing quadratic equations in the form ax^2 + bx + c = 0 that have given numbers as roots.

1. A guessing game…
8 • 0 = 0
0 • 7 = 0
0 • 0 = 0
What’s
behind
the
box?

2. A guessing game…
8 • 0 = 0
0 • 7 = 0
0 • 0 = 0
What’s
behind
the
box?

3. Solve by factoring.
or
Check:

4. Solve by factoring.
or

5. The solution is x = 3
Solve by factoring.
or

6. Solve
or

7. Write a quadratic equation with 3 and 4 as its
roots. Write the equation in the form
where a, b, and c are integers.
x = 3 or x = 4
x – 3 = 0 x – 4 = 0
(x – 3)(x – 4) = 0
x2 – 4x – 3x + 12 = 0
x2 – 7x + 12 = 0

8. Write a quadratic equation with and 6 as its
roots. Write the equation in the form
where a, b, and c are integers.
x = or x = 6
x + = 0 x – 6 = 03 3
3x + 2 = 0 x – 6 = 0
(3x + 2)(x – 6) = 0
3x2 – 18x + 2x – 12 = 0
3x2 – 16x – 12 = 0