PBL Jeopardy

Zeros/Factors

100

1+i is a zero of f(x)=x^4- 2x^3-x^2+6x-6

x=+/- square root of 3, x=1+/-I f(x)=(x-square root of 3)(x+ square root of 3)(x-1+i)(X-1-i)

200

4i is a zero of f(x)=x^4+13x^2-48

Zeros are +/- 4i, =/- square root of 3 f(x)=(x-4i)(x+4i)(x- square root of 3)(x+ square root of 3)

300

f(x)=x^2-2x+7

2 complex zeros, none real

Quadratic Factors

100

f(x)= x^3-x^2-x-2

(x-2)(x^2+x+1)

200

f(x)=3x^3-2x^2+x-2

x= +/-I f(x)=(x-1)(3x^2+x+2)

Asymptotes

100

f(x)=(x-3)/(x^2+1)

V.A.; x=0,-3 H.A.; y=0

Intercepts/Asymptotes

100

h(x) =(2)/(x^3-x)

x and y int. = none H.A. = y=0 V.A. = x=-1,0,1

Domain

100

f(x)=(1)/(x+3)

All x not equal to -3

200

f(x)=(-1)/(x^2-4)

All x not equal to -2 or 2