Unit 3 Polynomials

Classify Polynomials

100

The expression 7x can be classified as: 

And state its degree

Monomial

Degree: 1 

200

The expression 2x²+4x+5 can be classified as a:

And state its degree

Trinomial

Degree: 2 

300

Classify the type of polynomial of: 6x⁵y⁴z + 7x⁴y⁴

And state its degree

Binomial

Degree: 10

400

Classify what type of polynomial this expression is: 

10x² + 3y¹⁸ + 7z + 8xy¹⁴z⁶

And state its degree

Polynomial (more than 3 terms) 

Degree: 21

500

Classify what type of polynomial this expression is: 

6a³bc⁷d

And state its degree 

Monomial 

Degree: 12

Multiply Polynomials

100

Multiply the expression: 4x(x-5) 

4x² - 20x 

200

Simplify: 6x (2x - 7)

12x² - 42x 

300

Simplify: (x - 6)²

x² - 12x + 36 

400

Simplify: 4x ( 4x³ +3x² - 8x + 1) 

16x⁴ + 12x³ - 32x² + 4x 

500

Find the Area and Perimeter of a square given the side length (3x+2). 

A= 9x² + 12x + 4 

P = 12x + 8

Factor out the GCF

100

What is the GCF of 10x³ and 5x²

5x²

200

What is the GCF (Greatest Common Factor) of 18a²b³ and 24ab⁴

GCF: 6ab³

300

Factor: 2x³+4x

2x(x² + 2) 

400

Factor: 10x² - 15x 

5x ( 2x - 3) 

500

Factor: 20x⁵ - 15x⁴ 

5x⁴ (4x - 3) 

GCF (Quadratic Expressions)

100

Factor: x² + 5x - 6

(x-1) (+6)

200

Factor: x² + 8x + 16

(x+4) (x+ 4) 

OR 

(x+4)²

300

Factor: x² - 4x - 12

(x+2) (x - 6) 

400

Factor x² + 10x + 21

(x + 7) (x + 3) 

500

Factor: y² + 18y + 81

(y + 9) (y + 9) 

or 

(y + 9)²

Adding and Subtracting Polynomials

100

Simplify (4a + 8b + c) + (2a + 2b +2c) 

6a + 10b + 3c 

200

Simplify: (12x² + 3x + 1) + (10x² + 2) + (4x -2) 

22x² + 7x + 1

300

Simplify: (4x - 2y - 6) - (-3x - 5y - 13) 

7x + 3y + 7

400

Find the sum of 6x² + x + 7 and x² - 3

7x² + x + 4

500

Simplify: (x + 4) (x - 3) + (x² - 6x - 1) 

x² -3x + 4x - 12 + x² - 6x - 1 

2x² -5x - 13