Final Exam Review - Unit 4

Simplifying Expressions

100

(4k⁴ + 2) + (3 + 6k + 2k⁴ )

6k⁴ + 6k + 5

200

(7n² + 4n⁴) - (7n + 3n² + 4n⁴)

4n² - 7n

300

(4p⁴ - 6p³ + 6p² ) - (8p⁴ + 8p² - 6p³)

-4p⁴ - 2p²

400

(5 - 7x² - 7x) + (4x - 4 - 2x²)

-9x² - 3x + 1

500

(k + 6k² + 4) - (3k - 5 - 6k²) + (1 + 5k + 5k²)

17k² + 3k + 10

Multiplying Polynomials

100

-4xy³ (2x⁴ y⁴)

-8x⁵y⁷

200

-2y (-2y²)

4y³

300

5x⁵(4x + 8)

20x⁶ + 40x⁵

400

7(x - 1)

7x - 7

500

7(8p² + p + 2)

56p² + 7 p + 14

FOIL Method

100

(x + 5)(x + 1)

x² + 6x + 5

200

(8x + 2)(5x + 3)

40x² + 34x + 6

300

(x + 2)(6x - 5)

6x² + 7x - 10

400

(5 p + 5)(3 p - 2)

15p² + 5p - 10

500

(n + 3)(7n + 3)

7n² + 24n + 9

Factoring Polynomials

100

n² + 9n + 20

(n + 4)(n + 5)

200

k² - 100

(k - 10)(k + 10)

300

3n² + 9n - 162

3(n + 9)(n - 6)

400

6p² + 66 p + 168

6( p + 4)( p + 7)

500

3x² + 9x - 210

3(x - 7)(x + 10)

Characteristics of Quadratics

100

What is the vertex of Problem 21 from the study guide?

(2, 1) 

200

What are the x-intercepts of Problem 21 from the study guide?

There are no x-intercepts.

300

Is the vertex of problem 23 a max or a min?

min

400

What is the y-intercept of problem 24?

(0, 4) 

500

Complete all parts of problem 22 from the study guide. 

(3,4); Max;(1, 0) and (5, 0); (0, -5)