Alg Chapter 6 Review

6.1/6.2 Exponents

100

10^-4 = 

1/10,000

200

3y^-2

3/y²

300

64^1/2

8

400

8^2/3

4

500

(x^1/2)⁴*(x³)^1/3

x² * x = x³

6.1/6.2 Cont'd

100

1⁰ = 

1

200

a⁰b^-3 for a = 8 and b = -2

8⁰ * (-2)^-3 = -1/8

300

(3/4)^-2

(4²/3²) = 16/9 or 1 7/9

400

27^4/3

81

500

81^5/4

243

6.4 Add/Subtract Polynomials

100

15m³ + 6m² + 2m³

17m³ + 6m²

200

(2x² - x) + (x² + 3x - 1)

3x² + 2x - 1

300

(2x² + 6) - (4x²)

-2x² + 6

400

(2x² - 3x² + 1) - (-2x² + x + 1)

x² - x

500

(5a³ + 3a² - 6a + 12a²) + (7a³ - 10a)

12a³ + 15a² - 16a

6.5 Multiplying Polynomials

100

4x(x²p + 2p²)

4x³p + 8xp²

200

(x + 3)(x + 4)

x² + 7x + 12

300

(b - 3)²

b² - 3b - 3b + 9 = b² - 6b + 9

400

(5x + 3)(2x² + 10x - 6)

10x³ + 56x² + 30x - 30x - 18 =

10x³ + 56x² - 18

500

The length of a rectangle is 4 meters shorter than its width. 

a.) Write a polynomial that represents the area of the rectangle.

b.) Find the area of the rectangle when the width is 6 meters.

a.) x(x - 4) = x² - 4x

b.) 12 m²

Interesting Stuff (6.3 and some)

100

Give the degree:

3z⁶

degree = 6

200

Give the leading coefficient:

5 + 4x² - 7x⁵ + 3x⁴

LC = -7

300

Classify the polynomial:

y² + y + 4

Quadratic Trinomial

400

When is the test?

Tomorrow

Tuesday

March 2nd, 2021

500

Classify the polynomial:

6x⁷ + 9x² - x + 3

7th degree Polynomial