Factoring & Quadratics Review

GCF

100

Factor out the GCF.

10x - 5

5(2x - 1)

200

Factor out the GCF.

12x² + 24x⁵

12x²(1 + 2x³)

300

Factor out the GCF.

36x⁴ - 42x²

6x²(6x² - 7)

400

Factor out the GCF.

15x³y² - 10xy

5xy(3x²y - 2)

500

Factor out the GCF.

18x⁴y⁵ + 36x³y⁷

18x³y⁵(x + 2y²)

Factoring - Level 1

100

Factor.

x² + 9x + 20

(x + 5)(x + 4)

200

Factor.

x² - 4x - 12

(x - 6)(x + 2)

300

Factor.

x² - 5x + 6

(x - 2)(x - 3)

400

Factor.

x² + 4x - 32

(x + 8)(x - 4)

500

Factor.

x² - 8x - 9

(x - 9)(x + 1)

Factoring - Level 2

100

Factor.

2x² + 7x + 3

(2x + 1)(x + 3)

200

Factor.

3x² + 10x + 8

(3x + 4)(x + 2)

300

Factor.

9x² + 12x + 4

(3x + 2)(3x + 2)

OR

(3x + 2)²

400

Factor.

12x² + 5x - 2

(3x + 2)(4x - 1)

500

Factor.

6x² - 11x + 4

(2x - 1)(3x - 4)

Features of a Quadratic

100

What is the x-value of the y-intercept?

Zero

200

Given a quadratic with a vertex of (-2, 8), what is the axis of symmmetry?

x = -2

300

Given x² + 3x - 1, what is f(1)?

3

400

What are the domain AND range of a quadratic that opens down (has a maximum!) and has a vertex of (4, 7)?

All Real Numbers

y < 7

500

Given the quadratic x² + 2x - 6, find the vertex AND axis of symmetry.

(-1, -7)

x = -1

Surprise?

100

How many pets does Ms. Lee have?

Three!

200

What is the only fruit that has seeds on the outside?

Strawberry

300

What is Coach Adam's favorite color?

???

400

What is the graph/shape of a quadratic called?

Parabola

500

What is the only marsupial native to North America?

Opossum