JeopardyLabs

Operations on Polynomials

100

(x+2)(x²-x+4)

x³+x²+2x+8

300

(2x-4)²

4x²-16x+16

500

(4x-1)³

64x³-48x²+12x-1

Composition

100

f(x)=x²+5x-7, find f(-1)

f(-1)=-11

300

f(x)=2x and g(x)=x+5, find f(g(2))

f(g(2))=14

500

f(x)=2x and g(x)=x²-3x+1, find f(g(x))

4x²-6x+1

Factoring

100

(x³-8)

(x-2)(x²+2x+4)

300

x³+4x²+2x+8

(x²+2)(x+4)

500

x³-2x²-4x+8

(x+2)(x-2)²

Zeros of Polynomials

100

(x-1) is a factor of x³+6x²+5x-12, find all other factors

(x+3)(x+4)

300

-1 is a zero for x³-6x²+3x+10, find all other zeros

x=5 and 2

500

List all the possible rational zeros and find ONE for f(x)=2x³-7x²-17x+10

Possible: +-{1,2,5,10,1/2,5/2}

Answers: 1/2, -2, 5

Sketching Graphs

100

On the board sketch f(x)=x²(x-3)²

Board

300

State the end behavior for f(x)=-x⁷+x²+x+99

Up left down right

500

List the zeros and what is happening at each for the following f(x)=3x⁴-15x³+12x²

x=0 (bounce)

x=4 (through)

x=1 (through)