CP - Lesson: Solve Quadratic Equations (Pt 1)

Categorize

Options (5)

Organize these options into the right categories

What I Should Have Out

Wants to Buy Some Chocolate

Has the High Ground

One of Gassler's Favorite Candies

Solving Quadratic Equations (Part 1)

Objective: Solve quadratic equations.​

Open Ended

If 5 × A × B = 0, what can you say about A or B?

​Zero Product Property

​If ab = 0, then either a = 0 or b = 0 or both.

​3 × 🔲 = 0

-2x = 0

So what number goes in the box?

So x = ?

abc = 0

So...

​FACTOR

a number or quantity that when multiplied with another produces a number or expression.
Basically the "THINGS" being multiplied.

​EXAMPLES

​5y

​3x(x - 5)

​(x - 4)(x + 9)

​the FACTORS are

​the FACTORS are

​the FACTORS are

Match

How many FACTORS are in each expression?

• 5x(x + 9)

• (x + 2)(x - 8)

• 4xyz

3

2

4

• 3

• 2

• 4

Apply the Zero Product Property

A product of factors is zero if and only if one or more of the factors is zero.

-2x = 0

x =

(x - 4)(x + 6) = 0

x =

Multiple Select

What are the solutions to: (x + 4)(x - 11) = 0

• -4

• 11

• -11

• 4

• -44

Categorize

Options (4)

(x + 3)(x - 7) = 0

(x - 3)(x + 7) = 0

(x + 3)(x + 7) = 0

(x - 3)(x - 7) = 0

Organize these equations with their solutions.

x = -3 or 7

x = 3 or -7

x = -3 or -7

x = 3 or 7

EXAMPLE

x² - 6x - 16 = 0

Solve:

Multiple Select

Solve: x² + 4x - 12 = 0

• -6

• 2

• -2

• 6

• -4

EXAMPLE

x² - 4x = 21

Solve:

Multiple Select

Solve: x² + 3x = 10

• -5

• 2

• -2

• 5

• -7