POLYNOMIALS SUMMER SCHOOL ALGEBRA

Classifying

100

-5x

Monomial 

First degree

200

7x + 2y^3

Binomial

(3rd degree)

300

3x^2-5x+8

Trinomial

2nd degree

400

(-4x+11) - (6x -45)

Binomials

First degree

500

4x^3-2x^2+10x-1

Polynomial

3rd degree

Add/Sub

100

6a + 9a

15a

200

6xy - 8xy

-2xy

300

-3ab + 2ab - 12ab

-13ab

400

(7 + 9x) + (2 + 3x)

9 + 12x

500

(6x + 8y) - (4x - 10y)

2x + 18y

Multiplication

100

2(x - 9)

2x - 18

200

-4x^2y(5x - 9y^3)

-20x³ + 70

300

-x(x + 9)

-x² - 9x

400

3x(2x - 8)

6x² - 24x

500

-3xy(2x²y - 5xy² + 3x - 1)

-6x³y² + 15 x²y³ - 9x²y + 3xy

FOIL

100

(x - 6)(x + 2)

x² - 4x - 12

200

(x - 3) (x + 9)

x² + 6x - 27

300

(x - 6)(x - 6)

x² - 12x + 36

400

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

4x² - 81

500

(3x - 7)(5x - 4)

15x² - 47x + 28

GCF and Factor

100

What is the GCF of 24x² and 12x⁵

12x²

200

What is the GCF of 100a³b + 25ab² - 50ab

25ab

300

Factor: 18x³y⁴ + 9x⁴y⁵ - 27x²y³

9x²y³ (2xy + x²y² - 3)

400

Factor: 24mn⁵ - 18m²n² + 6m⁴n⁴

6mn² (4n³ - 3m + m³n²)

500

Factor: 30x³y² + 75x²y - 90xy

15xy (2x²y + 5x - 6)