Polynomials!

Polynomial Properties

100

What is the degree of the following polynomial?

x^5 + 2x + 34

5

200

How many terms does a binomial have?

2

300

Rewrite the polynomial in standard form:

x^2 + 10x - 90x^5 + 1

-90x^5 + x^2 + 10x + 1

400

In the term 7x^5. What is the word for the 7 in front?

Coefficient

500

Create a degree 10 trinomial

sample answer: x^10 + x + 1

Adding/Subtracting

100

(x^2 + 2x) + (2x + 1)

x^2 + 4x + 1

200

(9x + 2) - (-9x + 2)

18x

300

(15xy + 2(x^2)(y)) + (10x + 2y)

15xy + 2(x^2)(y) + 10x + 2y

400

(10x^2 - 8x) - (10x^3 - 8x^2)

-10x^3 + 18x^2 - 8x

500

(xy - 2(x^2)(y) - 3xy^2) + (6xy^2 - 9xy - (x^2)(y))

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

Monomial * Polynomial

100

8x * (3x + 1)

24x^2 + 8x

200

x * (x - y)

x^2 - xy

300

(a^2)(b^2) * (-a + b + 2)

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

400

4ab^2 * (2a^2 + 3ab + 4)

8(a^3)(b^2) + 12(a^2)(b^3) + 16ab^2

500

-3(x)(y^2)(z^3) * (3(x^2)(y) - 6(y^2)(z) + 9(z^2)(x))

-9(x^3)(y^3)(z^3) + 18(x)(y^4)(z^4) - 27(x^2)(y^2)(z^5)

Binomial * Binomial

100

(x + 2)(x - 3)

x^2 - x - 6

200

(2x - 1)(-2x + 1)

-4x^2 + 4x - 1

300

(x + 2y)(x - 2y)

x^2 - 4y^2

400

(x^2 - 3x)(3x - 1)

3x^3 - 10x^2 + 3x

500

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

-10x^2y^4 - 10x^2y^3 + 5x^3y^2 + 5x^3y

Trivia

100

What is the smallest state in the United States

Rhode Island

200

What is it called in golf when you score 1 worse than par?

Bogie

300

0 degrees Celsius is how many degree in Fahrenheit?

32 degrees F

400

What is the largest flightless bird?

Ostrich

500

What famous scientist attached a key to a kite to study the nature of electricity

Benjamin Franklin