Unit 8: Polynomials and Factoring

Multiplying, Dividing & FOIL

100

-64x⁸y¹⁰/8x³y⁷

-8x⁵y³

200

(12x²y⁹)(7x⁹y¹²)

84x¹¹y²¹

300

(y-6) (y+6)

y² - 36

400

(2m-5)²

4m² - 20m + 25

500

(3x + 1) (5x² + 2x - 6)

15x³ + 11x² - 16x - 6

GCF

100

GCF of 18 and 72

18

200

GCF of a²b² + a

a

300

GCF of 80n⁴ - 125n²

5n²

400

GCF of 16x² - 100y²

4

500

GCF of 75x²y³ + 60xy³

15xy³

Basic Factoring

100

(r² + 144)

prime

200

y² - 17y + 72

(y-8) (y-9)

300

x² - 14xy - 51y²

(x-17y) (x+3y)

400

4w² - 52w - 120

4 (w-15) (w+2)

500

6m² - 13m + 6

(3m-2) (2m-3)

Mixed Factoring

100

2x³ - 128x

2x (x+8) (x-8)

200

3x² - 6x + 3

3 (x-1)²

300

13x⁵ -13x

13 (x²+1) (x+1) (x-1)

400

4a³ - a²b - 36a + 9b

(4a-b) (a+3) (a-3)

500

4x³ + 20x² - 9x - 45

(x+5) (2x+3) (2x-3)

Pick Your Polynomial Poison

100

Classify the polynomial: 

x³ + 7

cubic binomial

200

(7x² + 3x) - (5x² + 4)

2x² + 3x - 4

300

GCF of 16a³bc - 49ab²c²

abc

400

5w(-7w + 3) + 2w(-2w² + 19w + 2)

-4w³ + 3w² + 19w

500

m³ - m²n + m - n

(m-n) (m²+1)