Polynomial Review

Adding Polynomials

100

(2x + y) + (x + y)

3x + 2y

200

(5z + 14z²) + (16 + z²)

put your answer in standard form

15z² + 5z + 16

300

(6ab + 8a + 9ab²) + (7a - 2ab)

4ab + 15a +9ab²

400

(c² - 6d²) + (c² - 2cd + 2d²)

2c² - 2cd - 4d²

500

(a² - 3ab + 2b²) + (-4a² + 5ab - b²) + (3a² -2ab)

b²

Subtracting Polynomials

100

(t + 5) - (-2t + 7)

3t -2

200

(7ab - 8a + 9) - (4ab + 1)

3ab - 8a + 8

300

(2s² - 5st - t²) - (s² + 7st - t²)

s² -12st

400

(12xyz + 3xy - z) - (13z + 15xy)

12xyz -12xy - 14z

500

(18rstm + 9rst - 16st) - (2rst + rstm) - (14s - 3st)

17rstm + 7rst - 13st - 14s

Multiplying Polynomials

100

(t + 2) (t - 1)

t² + t - 2

200

4t(t² - 3) 

4t³ -12t

300

(3x³y - 6) (5xy + 1)

15x⁴y² + 3x³y -30xy - 6

400

(3xyz + 6z) (9xy + 7)

27x²y²z + 75xyz +42z

500

(xy + 3yz) (2x - 5x²y + 4)

2x²y - 5x³y² + 4xy + 6xyz - 15x²y²z + 12yz

Random

100

(t² - 1) + (3t² - 4)

4t² - 5

200

(xy - 9) - (3xyz + 4xy)

-3xy - 3xyz - 9

300

(4x - 1)²

16x² - 8x + 1

400

4x (3xy + 4x⁴y⁵ - 6xyz - x)

12x²y + 16x⁵y⁵ - 24x²yz - 4x²

500

(x + 1)³

x³ - 3x² + 3x + 1

Review

100

graph: y = - 2|x - 3|

see graph

200

4x³yz^-3 

4x³y / z³

300

The population of fish in the lake is decreasing at a rate of 5% each year. In 2005 there were 1200 fish. How many fish will there be in 2020?

556

400

12,6892⁰

1

500

Graph:

 y = x + 2   if x < 0

       -x - 3   if x > 0

see graph