Unit 4 Part 1 Review Jeopardy

End Behavior

100

What is the end behavior and y intercept of: 

x^3 - 4x^2 + 6

x -> - infinity, f(x) -> - infinity

x -> + infinity, f(x) -> + infinity

200

What is the end behavior and y intercept of: 

x^2 + 2x

x -> - infinity, f(x) -> + infinity

x -> + infinity, f(x) -> + infinity

300

What is the end behavior and y intercept of: 

-2x^2 + 16x - 26

x -> - infinity, f(x) -> - infinity

x -> + infinity, f(x) -> - infinity

400

What is the end behavior and y intercept of: 

x^4 - 3x^2 - x - 3

x -> - infinity, f(x) -> + infinity

x -> + infinity, f(x) -> + infinity

500

What is the end behavior and y intercept of: 

-x^4 + x^3 + 3x^2 + 1

x -> - infinity, f(x) -> - infinity

x -> + infinity, f(x) -> - infinity

Adding/Subtracting Polynomials

100

Simplify the following expression: 

(3x+4) +(2x+9)

5x+13

200

Simplify the following expression:

(2x^2 - 3x)-(x^2 +7x)

x^2 -10x

300

Perform the indicated operations of polynomials.

(5x² - 9x + 4) + (-2x² + 7x + 1)

3x² - 2x + 5

400

Perform the indicated operations of polynomials.

(x^2 - 5x + 4) - (3x^2 + 3x - 2)

-2x^2 -8x +6

500

Simplify the following expression: 

(14x⁵ - 6x³ + 3x - 1) - (8x⁴ + 3x³ - 7x² + 9)

14x⁵ - 8x⁴ - 9x³ + 7x² + 3x - 10

Multiplying Polynomials/ Binomial Expansion

100

Simplify the following expression: 

(n+p)³

n^3 + 3n^2p + 3np^2 + p^3

200

Simplify the following expressions:

(n+2)⁵

n^5 +10n^4 + 40n^3 + 80n^2 + 80n + 32

300

Multiply the polynomials.

(4x^2 + 4x + 5) (7x - 4)

28x^3 + 12x^2 + 19x - 20

400

Multiply:

(x+1)(x²+2x+1)

x³+3x²+3x+1

500

Multiply:

(2x^2 + 3x+1)(x^2 -4x+2)

2x^4 -5x^3 -7x^2+2x +2

Dividing Polynomials

100

Use Synthetic Division:

(7m^3 - 62m^2 - 90m + 107) divide (m-10)

7m^2 + 8m -10 + 7/(m-10)

200

Use Synthetic Division:

(x^4 + 11x^3 + 3x^2 - 75x - 58) divide (r + 10)

(x^3 + x^2 - 7x - 5 - 8/(x+10)

300

Use Synthetic Division

(x^4 + 11x^3 + 34x^2 + 24x - 13) divide (x + 3)

(x^3 + 8x^2 + 10x -6 + 5/(x+3)

400

Use Long Division:

(m^3 - 3m^2 - 19m + 3) divide (m-6)

m^2 + 3m -1 + -3/(m-6)

500

Use Long Division:

(4x^3 - 46x^2 + 40x + 34) divide (4x-2)

(x^2 - 10x - 5) + 2/(2x-3)

Factoring

100

The result of factoring:
x² - 25

(x - 5)(x + 5)

200

The result of factoring:

27x⁶ - 48

3(3x³ + 4) (3x³ - 4)

300

The result of factoring:

125x³ + 27

(5x+3)(25x² - 15x + 9)

400

The result of factoring:

-4x⁴ - 52x³ -88x²

-4x²(x+11)(x+2)

500

The result of factoring:

8m³ - 8m² + 20m -20

4(2m² + 5)(m-1)