Polynomials

Identifying Polynomials & Degrees

100

5n³ + nq³

2nd degree

binomial 

200

8y + 7y³

3rd degree 

binomial 

300

-y³ + 3y - 3y² + 2

3rd degree 

polynomial 

400

11t + 2t² - 3 + t⁵

5th degree 

polynomial 

500

-9b² + 10b - b⁶

6th degree 

trinomial 

Polynomials in Standard Form

100

4 - 3c - 5c²

-5c² - 3c + 4

200

5x² - 2 + 3x

5x² + 3x - 2

300

-9b² + 10b - b⁶

- b⁶ - 9b² + 10b

400

11t + 2t² - 3 + t⁵

t⁵ + 2t² + 11t - 3

500

- y³ + 3y⁴ - 3y² + 2

3y⁴ - y³ -3y² + 2

Combining Terms / Simplifying

100

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

6x + 11y

200

(6k² + 2k + 9) + (4k² - 5k)

10k² - 3k + 9

300

(5f + g - 2) + (-2f + 3)

3f + g + 1

400

(2x + 3x²) - (7 - 8x²)

11x² + 2x -7

500

(2c² + 6c + 4) + (5c² -7)

7c² + 6c + 3

Distributing / Simplifying

100

a ( 4a + 3 )

4a² + 3a

200

2y (y - 4)

2y² - 8y

300

3x (5x² - x + 4 )

15x³ - 3x² + 12x

400

2m² (2m² + 3m - 5)

4m⁴ + 6m³ - 10m²

500

-4b (1 - 9b - 2b²)

-4b + 36b² + 8b³

Multiplying Binomials (FOIL)

100

(3c - 5) (c + 3)

3c² + 4c - 15

200

(7n - 6) (7n - 6)

49n² - 84n + 36

300

(12t - 5) (12t - 5)

144t² - 120t + 25

400

(5r + 7) (5r - 7)

25r² - 49

500

(11z - 5y) (3z + 2y)

33z² + 7zy - 10y²