Unit 7 Review

Polynomials

100

What is the degree of the following polynomial? 

5x²  + x⁴ - 3x + 10

4

200

Polynomial or not? 

4x³ + 6x² - 3x + 8

Polynomial 

300

Polynomial or not?

5^x + 7^x + 2

Not a polynomial

400

What is the leading coefficient of this polynomial? 

x³ - 4x² + 5x - 3

1

500

What is the name of a polynomial that has a degree of 3?

cubic

Find the Product

100

What is the product of: 

2x³ and 6x²

12x⁵

200

Find the product of 3x⁵y⁴  and 5x²y⁶

15x⁷y¹⁰

300

Find the product. 

3(2x - 7)

6x - 21

400

Find the product. 

(x + 9)(x - 3) 

x² + 6x - 27

500

Find the product. 

2x(x² -4x + 13)

2x³ - 8x² + 26x

GCF

100

What is the GCF of 20x and 16x?

4x

200

What is the GCF of the following expression? 

18x³ - 9x² - 3x

3x

300

Find the GCF. 

16x² +  8x + 24

8

400

Find the GCF. 

5x³ + 2x² - 3x

x

500

Find the GCF. 

(x - 3)(x + 5) - (x + 8)(x + 5)

(x + 5)

Difference of Perfect Sqaures

100

a²-b² = ? 

(a + b)(a - b)

200

Factor the following expression: 

x² - 25

(x + 5)(x - 5)

300

Factor the following expression. 

x² - 49

(x + 7)(x - 7)

400

Factor the following expression.

4x² - 9

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

500

Factor the following expression. 

36x² - 81

(6x + 9)(6x - 9)

Trinomials

100

How many terms are in a trinomial? 

3

200

Factor the following expression: 

x² + 13x + 30

(x + 10)(x + 3)

300

Factor completely. 

x² + 6x - 7

(x + 7)(x - 1)

400

Factor completely.

x² - 14x - 32

(x - 16)(x + 2) 

500

Factor completely. 

x² - 16x + 55

(x - 5)(x - 11)