Algebra 2

Solving Polynomial Equations by Graphing

100

2/3x³ + x² - 5x = -9

-4.12

200

x³ + 1 = 4x²

-0.47, 0.54, 3.94

300

1/2x⁵ = 1/5x² - 2

-1.27

400

x⁴ - 15x² = -24

-3.63, -1.35, 1.35, 3.63

500

x⁴ - 15x² + x + 65

no solution 

Adding and Subtracting Polynomials

100

-7x + x⁴ + 3x⁵ + 14x² + 7x⁴ -2x

3x⁵ + 8x⁴ + 14x² - 9x

200

-3x⁵ - 2 - 2x⁴ - 11 -13x -10x⁵ 

-13x⁵ - 2x⁴ -13x - 13 

300

-8 +3n³ - 10n⁵ + 2n + 2n³ + n⁵

-9n⁵ + 5n³ + 2n - 8

400

-13n⁴ + 5 + 11n⁵ + 10n⁵ + 3n + 5

21n⁵ - 13n⁴ + 3n + 10 

500

-4 - 12r⁴ - 14r³ - 4 + 9r⁴ + 5r³ 

-3r⁴ - 9r³ - 8 

Solving Systems of Equations

100

y-1/2x+1

y=3/4x-4

(4,-1)

200

3y=x-24

30-11x=6y

(6, -6) 

300

y = -2x + 8 

y = 4x - 4 

(2, 4) 

400

y = x + 4

y = 3x + 8

(-2, 2)

500

8x - 3y = 16

8x + 2y = -24 

(-1, -8) 

Complex Numbers

100

6 + i + 8 + 2i

14 + 3i

200

(5i x 4i) (-5 - 5i)

100 + 100i

300

Square root of 96x

4 square root 6x 

400

Square root of 24x⁴ 

2 Square root 6x² 

500

Square root of 392x 

14 square root 2x 

Dividing Polynomials

100

(18x³ + 36x²  +18x) /9x

2x² + 4x +2 

200

(r⁴ + 32r³ + r² ) / 8

r⁴ / 8 + 4r³ + r² / 8

300

(4x³ + 46x² + 50x - 110) / x+10

4x² + 6x - 10 - 10 / x+10

400

(n⁴ + 6n³ - 8n² - 14n - 4) / n-2 

n³ + 8n² + 8n + 2

500

(14n³ - 20n² - 12n - 7) / 2n-4 

7n² + 4n + 2 + 1 / 2n-4