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 in standard form:

6x -2x² +100

-2x^{2 +6x +100}

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

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

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? Area = lw

x²+x-20 square ft

Factor

100

 9x² -1

(3x-1)(3x+1)

200

x² -144

(x-12)(x+12)

300

 12a⁴ - 24a

12a(a³ - 2)

400

Factor Completely: w⁴ - 625

(w² +25)(w -5) (w +5)

500

9x⁸ - 81x⁴ 

9x⁴(x² -3)(x² +3)