Chapter 7 Review

Vocab.

100

Classify the following by number of terms: 2x² + 4x - 3

Trinomial

200

Classify the following by degree: 6x³ + 2x⁴ - 3x²

Degree 4

300

What is the leading coefficient of the following:

4x - 3x² + 2

-3

400

What is standard form of a polynomial?

Sort terms by highest to lowest degree. If multiple terms have the same degree, sort them alphabetically. Within each term the variables should also be sorted alphabetically, regardless of exponent. 

500

Classify the following by degree AND number of terms: 

6x²y + 3xy + 12y

Trinomial with degree 3

Adding & Subtracting

100

Simplify the following:

(2x² + 3x + 6) + (2x + 1)

2x² + 5x + 7

200

Simplify the following:

(7x² + y²) + (2x² + 4y²)

9x² +5y²​​​​

300

Simplify the following: 

(6z - 4) - (2z - 2) - (3z + 4)

z - 6

400

Simplify the following:

(-2x² - 3x - 1) + (x + 5x² - 8)

3x² - 2x - 9

500

Simplify the following: 

(x3 + x2 + x) - (x3 + x2 + x)

0

Multiplying

100

Multiply the following:

(y - 4)(y - 2)

y² - 6y + 8

200

Multiply the following: 

(-x - 2)(x + 3)

-x² - 5x - 6

300

Multiply the following: 

(7x + 3)(2x - 4)

14x² - 22x - 12

400

Multiply the following: 

(z - 8)²

z² - 16z + 64

500

Multiply the following: 

(x³ + x² + x)(-x³ - x² - x)

-x⁶ - 2x⁵ - 3x⁴ - 2x³ - x²

Factoring

100

Factor the following: 

x² + 5x - 36

(x + 9)(x - 4)

200

x² + x - 6

(x - 2)(x + 3)

300

Factor the following: 

12n³ + 4n² + 3n + 1

(4n² + 1)(3n + 1)

400

Factor the following: 

2x² - 5x - 12

(2x + 3)(x - 4)

500

Factor the following: 

3x³ - 27x

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

Finding the Zeros

100

Find the zero(s) of the following:

(x + 3)(x - 1) = 0

-3 and 1

200

Find the zero(s) of the following:

2x(x - 3) = 0

0 and 3

300

Find the zero(s) of the following:

(2x - 3)(x + 1) = 0

3/2 and -1

400

Find the zero(s) of the following:

(x + 6)² = 0

-6

500

Find the zero(s) of the following:

(x² + x)(- x² - x) = 0

0 and -1