Polynomials

Addition/Subtraction

100

(x² - 4x + 3) + (3x² - 3x - 5)

4x² - 7x - 2

200

(2m - 3 + 7m²) - (3 - 9m² -2m)

16m² + 4m - 6

300

(7p² + 3p) - (5p² + 4)

2p² + 3p - 4

400

(5w³ - w + 2w² + 4) + (3w² + 1 - 4w)

5w³ + 5w² - 5w + 5

500

(2x² + 3y² - z²) - (x² - y² - z²) + (4x² - 3y²)

5x² + y²

Multiplication/Division

100

-2(4v² + 5v) + v(v² + 6v)

v³ - 2v² - 10v

200

(7x³ + 4x² + 2x) / x²

7x + 4 + 2/x

300

-3n²(-2n³ + 7n + 4n)

6n⁵ - 21n³ - 12n³

400

(2m - 3)(6m + 1)

12m² - 16m - 3

500

(5a + b)(a - 4b)²

10a² - 38ab -8b²

Factoring by GCF

100

x²y + x

x(xy + 1)

200

28c - 12

4(7c - 3)

300

10m²n + 30mn² + 5mn

5mn(2m + 6n + 1)

400

72a⁵b³c - 32a³b²c²

8a³b²c(9a²b - 4c)

500

75x²y - 120xy

15xy(5x - 8)

Factoring Trinomials

100

x² + 6x + 9

(x + 3)²

200

v² - 11v + 10

(v - 1)(v - 10)

300

a² + 8a - 84

(a - 6)(a + 14)

400

n² - 8n - 65

(n - 13)(n + 5)

500

5w² - 15w - 20

5(w - 4)(w + 1)

Difference of Squares

100

y⁴ - 1

(y² - 1)(y² + 1)

200

49 - y²

(7 - y)(7 + y)

300

9k⁴ - 25

(3k² - 5)(3k² + 5)

400

81 - 4y²

(9 - 2y)(9 + 2y)

500

x² + 225

Prime