Polynomials

To what degree?

100

Find the degree of -8mn²

3

200

Find the degree of 10a²b³

5

300

3n² - 4n + 8

2

400

18x²y - 27x³y²

5

500

15r + 6

1

Multiply

100

Simplify. 2w(w-7)

2w² - 14w

200

4n(3n² + 6n - 9)

12n³ + 24n² - 36n

300

(4x + 5)(x + 3)

4x² + 17x + 15

400

(w + 2)²

w² + 4w + 4

500

(b + 3)(b - 3)

b² - 9

Factor Patterns

100

Factor. 4k² - 49

(2k - 7)(2k + 7)

200

Factor. b² - 9

(b + 3)(b - 3)

300

9z² + 42z + 49

(3z + 7)²

400

Factor. m² - 8m + 16

(m - 4)²

500

Factor. 4a² - 20a + 25

(2a - 5)²

Factor-no grouping

100

Factor 15r + 6

3(5r + 2)

200

Factor. 18x²y - 27x³y²

9x²y(2 - 3xy)

300

s² + 14s + 33 = (s + 3)(s+ ?)

11

400

Factor. b² + 3b + 2

(b + 2)(b + 1)

500

Factor. m² - 8b + 12

(m - 6)(m - 2)

Factor by grouping

100

Factor. 7y² + 11y - 6

(7y - 3)(y + 2)

200

Factor. 3p³ - p² - 6p + 2

(3p - 1)(p² - 2)

300

Factor. 12n³ - 3n² + 16n - 4

(4n - 1)(3n² + 4)

400

10x² - 53x - 11

(2x - 11)(5x + 1)

500

A shipping box in the shape of a rectangular prism has a volume of 18x³ + 5x² - 2x. What are three expressions that can represent possible dimensions of the shipping box? (i.e. Divide into 3 factors)

x(2x + 1)(9x - 2)