Unit 3 - Operations with Polynomials Review

Add/Sub Polynomials

100

(3x² + 5x + 9) + (2x² + 3x + 5)

(5x² + 8x + 14)

200

(3x² + 6x - 9) + (6x² - 3x + 5)

(9x² + 3x - 4)

300

(12x² + 5x + 9) - (2x² + 3x + 5)

(10x² + 2x + 4)

400

(4x² - 2x + 9) - (-2x² - 3x - 11)

(6x² + 1x + 20)

500

(2x² - 5x - 3) + (6x² + 8x + 7) + (-3x² - 12x + 13)

(5x² - 9x + 17)

Multiplying Binomials

100

(x + 1)(x + 5)

(x² + 6x + 5)

200

(2x + 5)(3x + 2)

(6x² + 19x + 10)

300

(2x - 5)(x + 4)

(2x² + 3x - 20)

400

(2x + 5)(2x - 5)

(4x² - 25)

500

(3x + 7)²

(9x² + 42x + 49)

Factoring GCF ONLY

100

Factor out the GCF:

2x² + 10x + 2

2(x² + 5x + 1)

200

Factor out the GCF:

12x² + 15x + 9

3(4x² + 5x + 3)

300

Factor out the GCF:

2x³ + 6x² + 12x

2x(x² + 3x + 6)

400

Factor out the GCF:

10x³ + 3x² + 12x

x(10x² + 3x + 12)

500

Factor out the GCF:

105x³ + 35x² + 70x

35x(3x² + x + 2)

Factoring Into 2 Binomials

100

Factor:

x² + 6x + 5

(x + 1)(x + 5)

200

Factor:

2x² + 12x + 5

(2x + 1)(x + 5)

300

Factor:

3x²  - 19x - 40

(3x + 5)(x - 8)

400

Factor:

2x² + 2x - 24

(2x + 8)(x - 3)

500

Factor:

4x²  - 27x + 18

(4x - 3)(x - 6)

Factor Completely

300

Factor COMPLETELY:

3x² + 3x - 90

3(x + 6)(x - 5)

400

Factor Completely:

2x² + 26x + 80

2(x + 5)(x + 8)

500

Factor COMPLETELY:

6x³  + 18x² + 12x

6x(x + 1)(x + 2)