Exponent Rules and Polynomials

Classifying Polynomials

100

Determine the degree of the following polynomial:

-3x^2+5x-1

Degree: 2

200

Is the following polynomial a monomial, binomial, or trinomial?

2xy-3x^2y

Binomial

300

Classify the polynomial by its degree and the number of terms:

-4x^4+3x^2-x

Degree: 4 (Quartic) 

Number of terms: 3 --> Trinomial

400

*Random*: Name as many digits of pi as you can

3.141592653589793238462643...

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4)+(19x^2-7)

23x^2-3

200

*Random*: What year was Fenway High School founded?

1983

300

Add the following polynomials. Write your final answer in standard form.

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

Subtract the following polynomials. Write your final answer in standard form.

(x^2-x+4)-(x^2+x-2)

-2x+6

Multiplying Polynomials

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

*Random*: What is Mr. Johnson's Zodiac sign?

Aries

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)^2

16x^2-8x+1

400

Multiply the polynomials. Write your final answer in standard form.

(2x-5)(3x^2-x+6)

6x^3-17x^2+17x-30

Multiplying Exponents

100

Simplify:

x(x^3)

x^4

200

Simplify:

4x(x^2)

4x^3

300

Simplify:

4x^3*5x^2

20x^5

400

Simplify:

(4x^2)(xy^2)

4x^3y^2