Exponent Rules and Polynomials

Exponent Rules

100

Use the product rule for exponents to multiply:

4x^3*5x^2

20x^5

200

Use the quotient rule for exponents to divide:

(x^2y^5)/(xy^3)

xy^2

300

What animal is the logo used by Mack Trucks?

Bulldog

400

Use the quotient rule and the negative exponent rule to simplify:

(2x^2y^4)/(8x^5y^5)

(1)/(4x^3y)

500

Use the exponent rules to simplify:

(x^3y^4)^3*(3xy^2)^2

9x^11y^16

Classifying Polynomials

100

What vegetable are pickles made out of?

Cucumbers

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

Quartic Trinomial

400

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

3x^2-x

Quadratic binomial

500

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

-2xy^2+4xy-3y^2+1

Cubic Polynomial with 4 Terms

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

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

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

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

In what country could you find the Leaning Tower of Pisa

Italy

500

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

How many wisdom teeth does the average adult have (before they have them taken out)?

4

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.

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

49x^2-16

500

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

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

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

Dividing Polynomials

100

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

(v² +14v +49) / (v+7)

v+7

200

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

(b² - 5b + 6) / (b - 2)

b - 3

300

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

(8x² - 51x - 26) / (8x + 5()

x - 7 + ((9)/(8x + 5))

400

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

(7x² + 61x - 81) / (7x - 9)

x + 10 ((9)/(7x-9))

500

In what US town does the movie "Groundhog Day" take place?

Punxutawney, PA