Exponent/Polynomial review

Product & Quotient Rules

100

x⁵ * x³

x⁸

200

y¹⁰/y²

y⁸

300

2a³ * 4a⁴

8a⁷

400

15w⁹/3w³

5w⁶

500

4x³*6x⁵/3x²

8x⁶

Powers & Zero Rules

100

(b⁴)³

b¹²

200

12x⁰

12

300

(3m²)³

27m⁶

400

(2k³*3k)²

36k⁸

500

(2x³y⁰)⁴

16x¹²

Negative Exponents

100

x^-4

1/x⁴

200

a³ /a⁷

1/a⁴

300

3/m^-2

3m²

400

(2x^-2y³)³ 

8y⁹/x⁶

500

2x^-3/y^-5

2y⁵/x³

Polynomial Party (+ & -)

100

3x² + 5x - 2 + 2x² - 3x

5x² + 2x - 2

200

(5x² + 4x - 3) + (2x² - 1x + 7)

7x² + 3x + 4

300

(4x² + 6x) - (2x² + 3x)

2x² + 3x

400

(2a² - 5ab + 3) - (a² + 2ab - 4)

a² - 7ab + 7

500

(5x² - 3x + 8) - (2x² - 3x - 4)

3x² + 12

Multiplying Polynomials

100

2x³(3x² - 4x + 5)

6x⁵ - 8x⁴ + 10x³ 

200

(x + 3)(x + 7)

x² + 10x + 21

300

2x - 5)²

4x² - 20x + 25

400

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

9x² - 4

500

 (x - 2)(x² + 3x - 4)

x³ + x² - 10x + 8