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

Use the power rule to simplify:

(4x^2yz^3)^2

16x^4y^2z^6

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

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

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

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

(3x+2)-(11x-6)

-8x+8

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

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

(9x+1)(6x+2)

54x^2+24x+2

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

Random

100

This artist topped the Billboard charts with the single "Love Yourself" in February 2016.

Justin Bieber

200

This 2016 superhero film sees our hero, Wade Wilson, hunting down the man who gave him a scarred physical appearance.

Deadpool

300

Which Nickelodeon TV show did Ariana Grande first find fame on?

Victorious

400

Name 2 of the four main characters in the TV series "The Golden Girls"

Rose, Blanche, Sophia, and Dorothy

500

Name four of Riley’s new emotions as a teenager in “Inside Out 2”

Anxiety, Envy, Embarrassment and Ennui