Polynomial Functions Roots
Complex Numbers
RF Asymptotes & Holes
RF X-&Y-intercerpts
Polynomial Functions
100

List the possible roots of the polynomial function f(x) = x5 – 3x2 + 6x + 14?

What is 1, -1, 2, -2, 7, -7, 14, -14?

100

Perform the operation (9-i)-(8-i)

What is 1?

100

Find the S.A/H.A., V.A., & Hole of the function f(x)=4/x2.

What is H.A. y=0?

What is V.A. x=0?

What is No Hole?


100

Find the x- & y-intercepts of f(x)=x/(x-32)

What is x-int: (0,0)?

What is y-int: (0,0)?

100

Name the end behavior of the function f(x)=x5+5x2+3x-2?

What is falls to the left & rises to the right?

200

List all possible roots of the polynomial f(x) = 2x4-17x3 + 35x2+ 9x -45. 

What is (+/-)(1,3,5,9,15,45,1/2,3/2,5/2,9/2,15/2,45/2)?

200

Complete the operation: (5-4i)^2

What is 9-40i?

200

Find the S.A./H.A., V.A., & Hole of f(x)=(3-7x)/(3+2x).

What is H.A. y=-3/2?

What is V.A. x=-7/2?

What is No Hole?

200

Find the x- & y-intercepts of f(x)=(x2-9)/x

What is x-int: (-3,0),(3,0)?

What is no y-intercept?

200

Name the degree of the polynomial & describe its end behavior: h(x)=-14x33-25x72+46x.

What is a degree 72 polynomial?

What is falls to the left & the right?

300

DAILY DOUBLE

List all possible roots of the polynomial f(x) = 3x3 – 17x2 + 18x + 8. Use this list to find the zeros of the function.

What is -1/3, 2, 4?

300

Name the complex conjugate of the complex number: 8-10i. Then multiply.

What is 8+10i? What is 164?

300

DAILY DOUBLE

Find the S.A./H.A., V.A., & Hole of g(x)=(x2-2x-8)/(x2-9)

What is H.A. y=1?

What is V.A. x=3, x=-3?

What is No Hole?

300

Find the x- & y-intercepts of f(x)=(x2+3x)/(x+15).

What is x-int: (0,0), (-3,0)?

What is y-int: (0,0)?

300

Determine how many roots f(x)=4(x+5)(x-1)has. Find the roots & their multiplicity, & describe the functions end behavior.

What is roots: -5 & 1?

What is -5 (mult. of 1) & 1 (mult. of 2)?

What is falls to the left & rises to the right?

400

Find the actual zeros of the polynomial, f(x)=4x3+4x2+9x+9.

What is 3/2i, -3/2i, -1?

400

Write the quotient in standard form: (5+i)/(5-i)?

What is 12/13 +(5/13)i?

400

Find the S.A./H.A., V.A., & Hole of (X2+5X+6)/(X2+7X+10)?

What is H.A. y=1?

What is V.A. x=-5?

What is Hole: (-2,1/3)?

400

Find the x- & y-intercepts of f(x)=(x2+3x)/(x2+4x+3)

What is x-int: (0,0)?

What is y-int: (0,0)?

400

DAILY DOUBLE

Give an equation for the polynomial function that has zeros of 2, -2, and 3 and has a degree of 3.


What is f(x)=x3-3x2-4x+12?

500

Find all the roots of the polynomial f(x) = 2x3+3x2+18x+27 when one of the roots is 3i.

What is 3i, -3i, and -3/2?

500

Use the quadratic formula to solve f(x)=4x2+16x+17=0

What is -2 + (1/2)i, -2-(1/2)i?

500

Find the S.A./H.A., V.A., & Hole of f(x)=(x2+1)/x?

What is S.A. y=x?

What is V.A. x=0?

What is No Hole?

500

Find the x- & y-intercepts of f(x)=(x3+3x2-4x)/(3x2-3)

What is x-int: (0,0),(-4,0)?

What is y-int: (0,0)?

500

Write the polynomial as a list of linear factors & list all the zeros of the function: g(y)= y4-256.

What is (y-4)(y+4)(y-4i)(y+4i)?

What is zeros: 4,-4,4i,-4i?