Factoring Review

Adding/SubtractingPolynomials

100

(4x + 9) +(x - 4)

5x + 5

200

(x² +3x + 5) + (9x² +6x - 10)

10x² + 9x - 5

300

(3x² + 6x³ - 4) - (5x² + 4x² - 7x)

6x³ - 6x² + 7x - 4

400

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

(k² + 6k³ - 4) - (3k³ + 7k - 3k²)

3k³ + 4k² - 7k - 4

Classifying/Standard Form

100

What does it mean for a polynomial to be written in standard form?

Terms are written from the highest degree to the lowest degree. 

200

Write the following polynomial in standard form:

4x² - 5 + x³ 

x³ + 4x² - 5

300

Classify the polynomial:

4x³

Cubic Monomial 

400

Classify the polynomial:

5x² - x + 1

Quadratic Trinomial 

500

Write an example of a quartic polynomial. 

Hold them up!

Multiplying Polynomials

100

3x² (2x⁴ - 5x)

6x⁶ - 15x³

200

(2m - 1)(m + 2)

2m² + 3m - 2

300

(3x - 2)(3x + 2)

9x² - 4

400

(2x - 3)²

4x² - 12x + 9

500

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring DOS and GCF

100

x²-4  (DOS)

(x-2)(x+2)

200

16x³+ 4x²  (GCF)

4x²(4x + 1)

300

7a³ + 21a² - 35a  (GCF)

7a(a² + 3a - 5)

400

25a² - 81b² (DOS)

(5a + 9b)(5a - 9b)

500

12a³b² - 15a²b⁴ + 6ab⁵ (GCF)

3ab²(4a² - 5ab² + 2b³)

Factor Trinomials/Grouping

100

x² - 9x + 20

(x - 4)(x - 5)

200

x² + 5x - 24

(x + 8)(x - 3)

300

6x² + 7x - 49

(3x - 7)(2x + 7)

400

2p³ + 5p² + 6p + 15

(p² + 3)(2p + 5)

500

35xy - 5x - 56y + 8

(7y - 1)(5x - 8)

Factor Completely

100

x³ + 11x² + 30x

x(x + 5)(x + 6)

200

100x² - 16

4(5x + 2)(5x - 2)

300

6x³ + 42x² - 48x

6x(x - 1)(x + 8)

400

x³ + 2x² - 9x - 18

(x + 3)(x - 3)(x + 2)

500

120p³n² + 24p²n² - 40n²p - 8n²   

8n²(5p + 1)(3p² - 1)