Polynomials Jeopardy!!

Vocabulary

100

What is the DEGREE of 2x⁴+9x³-5x²+6

4

200

How many terms are in a trinomial?

Three

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.

Ms. Miller will check!

500

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

1. Same variables 2. Same exponents

Adding Polynomials

100

(3x²+4x)+(2x²-3x)

5x²+x

200

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

4x + 14

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

(6x²+4)-(3x²+5)

3x²-1

200

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

2x-4

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

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

6x²-4x-10

200

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

6x²+12x+3

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

Classifying Polynomials

100

Simplify: (x³)(3x +5)

3x⁴+5x³

Quartic Binomial

200

Simplify then classify (two words): (3x²)(-2x³)

-6x⁵

^{Quintic Monomial}

300

6x⁷-2x+3

Degree 7 trinomial

400

4x³-2x²+6x-3

cubic polynomial

500

Solve the system of equations (use substitution or elimination): y=3x-2 y=-x-6

(-1, -5)