Unit 8 Polynomials & Factoring

Classifying

100

How many terms does a trinomial have?

three terms

200

Classify: 5x - 1

binomial

300

Classify:  4x³ - 3x² + 7x - 1

polynomial

400

Write in standard form and classify:

3x + 8 - x² + 5x - 1

-x² + 8x + 7

Trinomial

500

Write in standard form and classify:

3x³ + 2x - x³ +5x - 2x³

7x

monomial

Adding & Subtracting

100

(3x+ 5) + (2x + 1)

5x + 6

200

(5x - 8) - (2x + 6)

3x - 2

300

(2x² + 3x - 6) + (x² - 6x + 1)

3x² - 3x - 5

400

(7x + 2) - (9x + 1)

-2x + 1

500

(x² + 3x - 7) - (3x² - 5x + 1)

-2x² + 8x - 8

Multiplying

100

5(3p - 7)

15p - 35

200

6n(2n - 3)

12n² - 18n

300

(2x +1)(x - 7)

2x² - 13x - 7

400

(5x - 3)²

25x² - 30x + 9

500

(2x² - 3x + 1)(x - 3)

2x³ - 9x² +10x - 3

Factoring GCF or a=1

100

Factor by GCF:

8x - 16

8(x - 2)

200

Factor completely:

x² + 8x + 15

(x + 3)(x + 5)

300

Factor by GCF:

4n³ + 16n

4n(n² + 4)

400

Factor completely:

p² - 4p - 32

(p + 4)(p - 8)

500

Factor completely:

2x² - 26x + 80

2(x - 8)(x - 5)

Factoring a>1

100

2x² - 11x + 12

(2x - 3)(x - 4)

200

3v² + 34v + 40

(3v + 4)(v + 10)

300

6k² - 11k + 4

(2k - 1)(3k - 4)

400

9x² + 14x - 8

(9x - 4)(x + 2)

500

9y² - 16

(3y + 4)( 3y - 4)