Polynomial Jeopardy

Definitions

100

When you _______ terms with the same base, you ADD their exponents. 

Multiply

200

When you add like terms you add their __________. For example... 2x + 3x = 5x

Coefficients

300

A _________ is a monomial or the sum of monomials. 

Polynomial

400

A _______ is the sum of two monomials. 

A _______ is the sum of three monomials. 

binomial; trinomial

500

The __________ ____________ can be used to multiply any two polynomial expressions. 

distributive property

Adding & Subtracting Polynomials

100

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

7x^2

200

(8y^2+y-2)-(-2y^2-y-6)

6y^2-8

300

(4y^3-2y^2+1)-(-6y^3+2y^2)

10y^3-4y^2+1

400

(-10y^4-y^2+6)-(10y^2+y^4+6)

-11y^4-11y^2

500

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

-x^2-25x^3

Multiplying with Monomials

100

b(2b^3-12b^2+b)

2b^4-12b^3+b^2

200

-3a(a^4-6a^2+5)

-3a^5+18a^3-15a

300

4x^3y^2(8x^2+y-2)

-24x^5y^2-4x^3y^3+8x^3y^2

400

7a^3bc^2(2a^3b-10ac^3-2)

14a^6b^4c^2-70a^3bc^5-14a^3bc^2

500

2a(-3a^4+a)+a^4(8a-3a)

-a^5+2a^2

Multiplying with Binomials & Polynomials

100

(-x+1)(1+x)

-x^2+1

200

(2x^3+x)(2y+y^3)

4x^3y+2x^3y^3+2yx+xy^3

300

(3x²-x)²

9x²-6x³+x²

400

(x-3)(x²-3x+2)

x³-6x²+11x-6

500

-[(2z^3+4)(2z^3-4)]

-4z^6+16

Random Trivia

100

What is the only continent without native reptiles and snakes? 

Antarctica

200

What abbreviation comes from libra, meaning pound in Latin? 

lb

300

What is the largest living bird on earth? 

The Ostrich

400

When was the first permanent photograph taken? (If you can guess within the decade I'll give you the points) 

1826

500

What layer of Earth's atmosphere sits between the troposphere and mesosphere?

The stratosphere

VARIABLE CHALLENGE (Double Points!!!)

100

a^x(a^y)

a^(x+y)

200

3a(a^x+a^y)

3a^(1+x)+3a^(1+y)

300

-2x^a(3x^a-x^(3a))

-6x^(2a)+2x^(4a)

400

m^x(2m^x+m^y)+3m^(y+x)

2m^(2x)+4m^(x+y)

500

(x^a+x^y)^2

x^(2a)+2x^(a+y)+x^(2y)