Algebra Polynomial Quest Review

Naming Polynomials

100

What are the two types of ways to name polynomials?

Degree and Number of Terms.

200

What is the vocabulary word for a degree of three?

Cubic

300

What type of polynomial has three terms?

Trinomial

400

Name the polynomial

3x⁴+5x²

Quartic binomial

500

Name the polynomial

7x⁸+2x⁴-5x+4

8th Degree Four-Term Polynomial

Monomials and Polynomials

100

When you're multiplying a monomial multiplied by a polynomial, what math property are you using? 

Distributive Property

200

When you're multiplying, what do you do with the exponents?

Add the exponents

300

Solve the following multiplication:

3x(4x+2)

12x²+6x

400

Solve the following multiplication

4x(2x²+4x-4)

8x³+16x²-16x

500

Solve the following multiplication:

5x⁵(6x³-7x²-8x-9)

30x⁸-35x⁷-40x⁶-45x⁵

FOIL

100

What do the letters in FOIL stand for?

First

Outside

Inside

Last

200

What type of polynomials do you use FOIL for?

Binomial x Binomial

300

What is technically the last step in using FOIL

Combining Like Terms

400

FOIL the following

(x+4)(x-2)

x²+2x-8

500

FOIL the following

(2x-5)(4x+6)

8x²-8x-30

Special Polynomials

100

Name the type of Special Polynomial:

(x-5)(x+5)

Difference of Two Squares

200

Name the Special Polynomial:

(x-4)²

Perfect Square Polynomial

300

When solving a Perfect Square Polynomial, what is the form your answer will take?

a²+2ab+b²

400

Solve the following Perfect square:

(x+4)²

x²+8x+16

500

Solve the following Difference of Two Square

(x-7)(x+7)

x²-49

Aluminum FOIL Trivia

100

How much lighter is aluminum than steel? (fraction answer)

1/3

200

How much tin is there in aluminum foil (Also commonly called tin foil)?

None

300

How much aluminum (by weight) is produced annually in Europe.

860,000 tons

(1,720,000,000 pounds)

400

What percent of Aluminum that has EVER been produced is still in use?

75%

500

How many square meters of Aluminum foil are used in flexible household packaging? 

1,000,000,000 square meters 

(5x times the country of Luxembourg)