Unit 9 Review

Adding Polynomials

100

(2x + 1) + (12x + 9)

14x + 10

200

(4 + 2n³) + (5n³ - 2)

7n³ + 2

300

(3x³ + 2x + x²) + (4 + 6x²)

3x³ + 7x² + 2x + 4

400

(13n ² + 11n − 2n ⁴ ) + (−13n² − 3n − 6n ⁴ )

−8n⁴ + 8n

500

(−7x⁵ + 14 − 2x) + (10x⁴ + 7x + 5x⁵)

-2x⁵ + 10x⁴ + 5x + 14

Subtracting Polynomials

100

(3x² + 4) - (x² + 1)

2x² + 3

200

(a ³ − 2a ² ) − (3a ² − 4a ³ )

5a ³ − 5a²

300

(5a² + 4) − (5a + 3)

5a² - 5a + 1

400

(3 − 6n ⁵ − 8n ⁴ ) − (−6n ⁴ − 3n − 8n ⁵ )

2n ⁵ − 2n ⁴ + 3n + 3

500

(7 − 13x ³ − 11x) − (2x ³ + 8 − 4x ⁵ )

4x ⁵ − 15x ³ − 11x − 1

Multiplying Polynomials

100

2x(−2x − 3)

-4x² -6x

200

7(−5v − 8)

-35v -56

300

(2n + 2)(6n + 1)

12n² + 14n + 2

400

(6p + 8)(5p − 8)

30p² -8p -64

500

(4a + 2)(6a ² − a + 2)

24a³ + 8a² + 6a + 4

Dividing Polynomials

100

(4n + 8) / 2

2n + 4

200

(16x² - 12x + 8) / 4

4x² - 3x + 2

300

(3x² + 6x) / 2x

3/2x + 3

400

(3a - 6b) / 3ab

1/b - 2/a

500

(8h⁵ - 32h⁴ + 16h³) / -8h⁴

-1h + 4 - 2/h

Special Cases

100

(x + 5)(x − 5)

x² - 25

200

(n + 3)²

n² + 6n + 9

300

(x − 4)²

x² - 8x + 16

400

(8a² + 4)(8a² − 4)

64a⁴ - 16

500

(5n² +2)²

25n⁴ + 20n² + 4