8.1-8.3 Polynomial Review

Writing Polynomials

100

7 + 5x

5x + 7

200

-9 + 8x² -5x

8x² -5x - 9

300

-8x³ + 5x⁵ -3 + 2x

5x⁵ - 8x³ + 2x - 3

400

-9x²y⁵ + 5x⁴y² + 4 -3x

5x⁴y² - 9x²y⁵ -3x + 4

Adding Polynomials

100

(5m² + 4m) + (6m² + 3m) 

11m² + 7m

200

(5a² - 5) + (3a² - 2)

8a² - 7

300

(4m² − m + 2) + (−3m² + 10m + 7)    

m² + 9m + 9

400

 (9p²  − 6p³ + 3 − 11p) + (7p³ − 3p² + 4)

p³ + 6p² - 11p + 7

Subtracting Polynomials

100

(8p + 4) - (4p + 2)

4p + 2

200

(9c³ - 6c) - (4c³ -2c)

5c³ - 4c

300

 (6c² + 3c + 9) − (3c − 5)

6c² + 14

400

 (3x² − 8) − (4x³ + x² − 15x + 1)

-4x³ + 2x² + 15x - 9

Multiplying Polynomials

100

4x² (3x + 2)

12x³ + 8x²

200

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

6x² + 5x - 6

300

(x + 7) (x - 7)

x² - 49

400

(3k + 2)²

9k² + 12k + 4

GCF

100

What is the GCF of 30 and 54?

6

200

Factor: 3r + 9

3 (r + 3)

300

Factor: 12n⁵ + 16n³

4n³ (3n² + 4)

400

5k² - 40k + 10

5 (k² - 8k + 2)