Algebra 2 - Unit 4 Test Review

Classifying Polynomials

100

3x² - 4x

Quadratic Binomial

200

-4x³ - 8x + 2

Cubic Trinomial

300

x⁴ - 3x³ + 2x² - x + 6

Quartic Polynomial

400

4x⁵ - 3x³ + 2x² 

Quintic Trinomial

500

5

Constant Monomial

Addition/Subtraction of Polynomials

100

(3x² - 2x + 4x⁴) + (-2 + 4x - 5x³)

4x⁴ - 5x³ + 3x² + 2x - 2

200

(3x² - 2x + 4x⁴ - 3x +7) - (-2 + 4x² - 5x³)

4x⁴ + 5x³ - x² - 5x + 9

300

(3x² - 2x + 4x⁴ - 3x +7) - (-2 + 4x² - 5x³) + (-x³ - 3x⁴)

x⁴ + 4x³ - x² - 5x + 9

400

(6x² - 4x⁵ + 4x⁴ - 3x +7) + (-2x + 4x² - 5x³) - (-x³ - 3x⁴ + 9x² +5)

-4x⁵ + x⁴ - 4x³ + 19x² - 5x + 2

500

(8x² + 6x³ - 2 - x⁵) - (x⁵ + 3x⁴ - 3x² + 7) + (2x³ - 3 + 2x⁴ + 7x⁵)

5x⁵ - x⁴ + 8x³ + 11x² - 12

Multiplying Polynomials

100

-3x(2x - 5)

-6x² + 15x

200

(x - 4)(x + 7)

x² + 3x - 28

300

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

-6x² - 20x - 16

400

(x - 8)(x² + 8x + 64)

x³ - 512

500

(x² - 4x + 2)(3x² + 2x - 1)

3x⁴ - 10x³ - 3x² +8x - 2

Dividing Polynomials

100

(x^2-12x+32)/(x-4)

x - 8

200

(x^4+4x^3-14x^2+18x-9)/(x-1)

x^3+5x^2-9x+9

300

(x^5+12x^4+28x^3+24x^2+11x-10)/(x+2)

x^4+10x^3+8x^2+8x -5

400

(2x^3+5x^2-35x+25)/(2x - 5)

x^2+5x-5

500

(7x^5-29x^4+10x^3-12x^2+102x - 80)/(7x - 8)

x^4-3x^3-2x^2-4x+10

Factoring Polynomials

100

12x² - 363

3(2x - 11)(2x+11)

200

-3x³ - 648

-3(x + 6)(x² - 6x + 36)

300

x² - 7x - 120

(x - 15)(x + 8)

400

8x³ - 12x² - 2x + 3

(2x - 3)(4x² - 1)

500

8x² - 45x - 18

(8x + 3)(x - 6)