Unit 7 Review

Classifying

100

A 2nd degree polynomial with 3 terms.

Quadratic Trinomial

200

Give me an example of a constant monomial that is divisible by 3.

9, 51, etc

300

Classify 1001x³

Cubic Monomial

400

Give me an example of a Quadratic Binomial. 

x⁴-25

500

Give me an example of a Quartic Binomial. Wheel spin if it is factorable.

x⁴-9

Distributing

100

What does it mean to distribute? Give an example if it helps you explain.

Multiplying a group of terms (polynomial) by a group or single term (polynomial). 5(x+4) = 5x+20

Basically polynomial multiplication. 

200

24x²(x - 3)

24x³ - 72x²

300

5ab(9a²-7b+20x)

45a³b-35ab²+100abx

400

(9x-3)²

81x²-54x+9

500

(2x²+5x-6)(x²-2x+12)

2x⁴-9x³+8x²+72x-72

Factoring

100

36x³y+48x²y-121xy

12xy(3x²+4x-11)

200

81x⁴-16

(9x²+4)(3x-2)(3x+2)

300

w²-3w-28

(w-7)(w+4)

400

12x²-5x-2

(4x+1)(3x-2)

500

2x³+7x²-2x-7

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

Defining

100

Define a term.

A monomial consisting of numbers and/or variables.

200

True or False: Distributing is the opposite of factoring

True

300

Define trinomial.

An expression with 3 terms that add or subtract.

400

Define a GCF. 

The highest constant or variable term factor that two or more terms have in common.

500

Define a polynomial.

An expression made of terms that contain variables, coefficients, and constants.

Dividing

100

(6y^5)/(3y^2)

2y³

200

(x^2-6x-16)/(x-2)

x+8

300

x² divided by x⁴

1/(x^2)

400

(3y^2+25y-18)/(3y-2)

y+9

500

Use long division: 

(2x^3+5x^2-4x+2)/(2x+1)

x²+2x-3+5/2x+1