Factoring

Factoring

Students will determine where the parabola crosses the x-axis so that in their careers they will know when they have arrived at zero (you can start their...but you don't want to end there).

warmup

Multiple Choice

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Multiple Choice

How many roots (x-axis intercepts) does this parabola have?

• 3

• 2

• 0

• 1

Multiple Choice

Identify a root (x-axis intercept)

• (-1,9)

• (0,-8)

• (-4,0)

• (0,0)

Now that we know what a parabola is...how do we use it.

When does x=0?

X-axis intercept!

Factoring

Multiple Choice

Factor:
x² + 2x - 24

• (x - 6)(x + 4)
• (x + 6)(x + 4)
• (x - 6)(x - 4)
• (x + 6)(x - 4)

Multiple Choice

Factor:
x² - 10x - 24

• (x + 12)(x - 2)
• (x - 6)(x - 4)
• (x - 12)(x + 2)
• (x +6)(x - 4)

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Multiple Choice

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Multiple Choice

Does the quadratic have a maximum or minimum vertex, and does the parabola open up or down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Multiple Choice

Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR

• b = 5 and 7

• b = -5 and -7

• b = -5 and 7

• b = 5 and -7

Multiple Choice

The solutions of the quadratic equation

x²+12x+35=0 are (hint: find the zeros) FACTOR

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

Multiple Choice

Solve by factoring.

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}