Mrs. Potthast's Polynomials Review

Multiplying Polynomials

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Common Factors/ Special Products

100

Factor by looking for a common factor:

30x-42

6(5x-7)

200

Factor by looking for a common factor:

5a³+2a²

a²(5a+2)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor by looking for a common factor:

18n⁴+42np+6n

6n(3n³+7p+1)

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

400

Factor:

x³ - 3x² + 8x - 24

(x² + 8)(x - 3)

500

Factor:

3n³ + n² - 15n - 5

(n² - 5)(3n + 1)

Solve by Factoring

100

Solve by factoring:

(x + 3)(x - 1) = 0

x = -3 or x = 1

200

Solve by factoring:

(2x + 3)(x - 5) = 0

x = -3/2 or x = 5

300

Solve by factoring:

x² - x - 20 =0

x=-4 and x=5

400

Solve by factoring:

5x² - x = 4

x = -4/5 and x = 1

500

Solve by factoring:

30x² - 4 = 2x

x=2/5 and x=-1/3