Polynomials Jeopardy!!

Vocabulary

100

How many terms are in a trinomial?

Three

200

What is the DEGREE of 2x⁴+9x³-5x²+6

4

300

How many terms are in this polynomial? 4y⁵+6xy-3x²

Three

400

Write an example of a polynomial with 4 terms and degree of 3.

Please show your question to your teacher to check!

500

Like terms need to have...(two things!!)

1. Same variables 2. Same exponents

Adding Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

(5x³+4x²-2x+2) + 2(2x³-2x²+x+5)

9x³+12

Subtracting Polynomials

100

(7x+4) - (5x+8)

2x - 4

200

(6x²+4) - (3x²+5)

3x²-1

300

(2x-4) - 2(4x-2)

-6x

400

(6x²-5x+8) - (4x²-7x+9)

2x²+2x-1

500

(6x³+4x²-4x+5) - 2(2x³-3x²+5x-5)

2x³+10x²-14x+15

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+12x+3

200

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

6x²-4x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

Jenny is given the problem: (x-4)(x+4)

Instead of using FOIL or the box method, she notices that the problem is a special type of pattern in multiplying polynomials. What is the name of that pattern AND what is her answer?

Sum and difference pattern

Answer: x² - 16

500

Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom?

x²+x-20 square ft

Dividing Polynomials

100

Divide: (6x³ + 8x² - 4x)/(2x)

3x² + 4x - 2

200

( 8p¹² - 4p⁸ + 12p⁶) / (-4p²)

-2p¹⁰ + p⁶ - 3p⁴

300

(3x² + 17x + 10) / (3x + 2)

x + 5

400

(2x² + 3x -14) / (x - 2)

2x + 7

500

The area of a corn field is x³ - 2x² - 25x + 6. If the width of the field is x - 6, then what would represent the length?

The length would  be x² + 4x - 1.