Alg2H Extra Review for Ch10 Test #1: 10:1-10:4 (New ’10)) WK#7b

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Part 1: Calculator

1. f(x) = 4x4 – 4x

3 – 11x

2 + 12x – 3

(1) List all possible rational roots _______________________________________________________________

(2) Find all exact roots over the Complex numbers

ROOTS: _______________________________________________________________

(3) Write in factored form (using integers)

P(x) = _________________________________________________________________

(4) Sketch Graph. Label all real x and y intercepts (rounded to hundredth where appropriate)

(Same problem as #2 on WK D )

Alg2H Extra Review for Ch10 Test #1: 10:1-10:4 (New ’10)) WK#7b

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2. P(x) = -6x4 + x

3 + 4x

2 + 10x + 3

a) List all the possible rational roots: _____________________________________

b) Determine all exact real or complex zeros of the function

ROOTS: _______________________________________________________________

c) Write the function in factored form (using integers)

P(x) = _________________________________________________________________

d) Sketch a graph of the function. Label coordinates of all real x and y intercepts

(Same problem as WK E: Full solutions using synthetic division on side 1 and long division on side 2. Study

this!!!!!)

Alg2H Extra Review for Ch10 Test #1: 10:1-10:4 (New ’10)) WK#7b

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Part 2: No calculator

3. Given the function y = x . Write the function that has been shifted to the right 4 units,

reflected about the (shifted) y axis, horizontally compressed by a factor of 7, vertically stretched

by 1

8, shifted up 2 units:

_________________________________________________________________

4. Given the function y = x2. Describe in words how each change to the basic function changes

the graph of the function 7)15

4(

4

1 2 xy

________________________________________________________________________

________________________________________________________________________

5, Graph on the same axis: 5.

y = x (dashed)

542

13 xy (solid)

Simplify:

6. i-455

7. i

i

31

42

8. (Use long division) 1

6252

234

x

xxx 9. (Use synthetic division)

x

x

4 1

1

x

y

Alg2H Extra Review for Ch10 Test #1: 10:1-10:4 (New ’10)) WK#7b

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10. Answer the following questions regarding the graph:

a)Describe the end behavior: starts _________ends _________

b) Degree of function

a) ODD or EVEN: ___________________________

b) Sign of leading coefficient: ___________________

c) Least degree of function: _____________________

c) If one of the roots is 2

31 i, write a polynomial function in factored form (with

integers) that might have the given graph.

P(x) = ______________________________________________________________