Polynomial Jeopardy

Classify Polynomials

100

A polynomial of degree zero

What is a constant?

200

What is 3x²? 

What is a monomial?

300

The highest power (or degree) of any of its terms

What is the degree of a polynomial?

400

A polynomial with two terms and degree four

What is a quartic binomial?

500

a polynomial of degree 2 with three terms

What is a quadratic trinomial?

Special Products

100

What is the product of (a - b)(a + b)?

a² - b²

200

What is the value of (a + b)²?

a² + 2ab + b²

300

What is the product of (a - b)(a - b)?

a² - 2ab + b²

400

What is the product of (x - 2)(x + 2)

x² - 4

500

What is the value of (5x + 4)²

25x² + 40x + 16

Add Polynomials

100

(2x² - x) + (x² +3x - 1)

 3x² + 2x - 1?

200

(-2ab + b) + (2ab + a)

 a + b

300

(4b⁵ + 8b) + (3b⁵ + 6b - 7b⁵ + b)

15b?

400

(20.2y² + 6y + 5) + (1.7y² - 8)

21.9y² + 6y - 3

500

(12x+5) + 15x + 11+3x³

3x³+17x+16

Subtract Polynomials

100

(2x² + 6) - (4x²)

 -2x² + 6

200

(a⁴ - 2a) - (3a⁴ - 3a + 1)

 -2a⁴ + a - 1

300

(3x² - 2x + 8) - (x² - 4)

2x² - 2x + 12?

400

-0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

-0.01x² + 4x + 200

500

(11z³ - 2z) - (z³ - 5)

 10z³ - 2z + 5

Multiply Polynomials

100

(x-5)(x+1)

x²-4x-5

200

(x+3)(2x+3)

2x²+9x+9

300

(3a - b)(a - 2b)

3a² - 7ab + 2b²

400

(3x - 4)(3x+4)

9x²-16

500

(4x - 2)³

16x²-16x+4