Polynomials Jeopardy!!

Classify

100

4y + 3

Linear Binomial

200

2x⁴+9x³-5x²+6

Quartic Polynomial

300

4x²+6x-3x⁵

Quintic Trinomial

400

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

Ms. Bohling will check!

500

4

Constant Monomial

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

Graph/Solving

100

Solve: x³-3x²-18x

x = 0, -3, 6

200

Tell the zeros and end behavior.

y=x⁴-3x³+2x

End Behavior:

Left           Right                Zeros: (-0.7, 0), (0,0)

f(x) infinity   f(x) infinity               (1,0)  (2.7, 0)

x neg infinity   x infinity 

300

Solve.

y = x³ - 2x² + 5x +10

x = 2, 5i, -5i

400

Tell the relative min/max and intervals.

y=x⁴-3x³+2x

max (0.5, 0.7)       min (-0.4, -0.6), (2.1, - 4.1)

Intervals D(-infinity, -0.4], [0.5, 2.1]

              I[-0.4, 0.5] , [2.1, infinity)

500

Solve.

y = 3x³ + 6x² + 6x + 3

x = -1, (-1 +/- i sq root of 3)/2