Standard Form
Classifying Polynomials
Simplifying Expressions
Factoring
Unit 6 Waterfall
100

Write the polynomial in standard form:


3x+1+2x2

2x2+3x+1

100

How many terms are in the following expression?

3x2-4x

2

100

(x+5)+(4x-7)

5x-2

100

Factor:

3x2y+9xy

3xy(x+3)

100

Simplify:

-2a3b-11a3b

-13a3b

200

Is the following polynomial in standard form?


2x2-y2+xy

No

Correct form:

2x2+xy-y2

200

What is the degree of the following expression?

-2y+9

1

200

(x2+17x)-(3x2+5x)

-2x2+12x

200

Factor:

4-25y2

(2-5y)(2+5y)

200

Simplify:

(-2a2b)3(5ab)

-40a7b4

300

Write the following polynomial in standard form:

2ab+a3+5a2b2-2b3

a3+5a2b2+2ab-2b3

300

Classify the polynomial by degree and number of terms:

3

Constant Monomial

300

-2x4(6x2-12x+18)

-12x6+24x5-36x4

300

Factor:

8n2-10n+3

(4n-3)(2n-1)

300

Simplify:

(-3x-4y2)(8xy-5)

-24x-3y-3

400

Write the following polynomial in standard form:

13-c3+5d3-7c2d2

-c3-7c2d2+5d3+13

400

Classify the polynomial by degree and number of terms:

m2+2m-4

Quadratic Trinomial

400

(x+4)(x2+3x-6)

x3+7x2+6x-24

400

Factor:

4p2-24p+20

4(p-5)(p-1)

400

Simplify:

  6xy8

18x5y3

(Division)

1/3x-4y5

500

What is standard form?

Alphabetical order with highest exponent first

500

Classify the polynomial by degree and number of terms:

2x4-x2+7x+1

Quartic Polynomial

500

30r5s9-12r4s8+3r3s7

       3r2s2

(Division)

10r3s7-4r2s6+rs5

500

Factor:

3y4-6y3+9y2-18y

3y(y2+3)(y-2)

500

Simplify:

(x3y4)(x2y)5

x13y9