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HW- Chapter 5 Quiz Review 5.1-5.6 & 5.8
Calculator Portion
|What is the polynomial function whose zeros are –6, 0, and 18? (use standard |2. What are all the solutions of [pic] ? |
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|3. What is the quotient of |4. How would you classify given polynomial? f(x) = -6x2+ 2x4 - [pic] |
|(3x3– 14x2 + 16x - 22) and (x – 4)? | |
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|5. How many roots does the function |6. What is the right end behavior of: [pic] ? |
|f(x) = [pic] have? | |
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|8. What is the lowest degree of the function in the graph? |9. Write the factors appear to be part of the polynomial in the graph below? |
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|10. Using the remainder theorem find the j(-2) |11. Explain what is meant by end behavior. |
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|j(x) = [pic] | |
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|12. Given the polynomial |13. Divide |
|f(x) = [pic] |f(x) = [pic][pic] by 2x -7 |
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|Use graphing calculator to Find: | |
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|Local Maximum(s): ____________________ | |
|Local Minimum(s): ____________________ | |
|All Real Zeros: ________________________ | |
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Please use words and/or sentences to answer the following questions.
|14. Why is (x + 2)2 NOT equivalent to x2+ 4? |15. The zeros of a function are -7, [pic] , and 0. What are the factors that |
| |match those zeros? |
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|16. What division does this problem represent? |
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|[pic]. |
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|a. Can you determine a factor from this computation? If so, name it _______________________ |
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|b. Can you determine a root from this computation? If so, name it______ |
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|c. What is f(-2)?__________ |
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|d. Name the quotient _______________ |
|17. Find all of the zeros of the polynomial. (no decimals!) |18. Given the polynomial |
|g(x) = [pic] | |
| |[pic] |
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| |List all possible rational zeros. |
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| |Factor polynomial completely |
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|Find the Roots/Zeros | |
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|Answer |List all zeros of the function. |
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|Answer | |
|x=−2, | |
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|,3 | |
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NON-Calculator Portion
1. Simplify completely [pic]
2. What is equivalent to [pic]
3. Simplify [pic]
4. Simplify [pic][pic]
5. Classify the following functions. Decide if the function is a polynomial function.
If it is a polynomial function, state its degree, type, leading coefficient and general shape.
|a. f(x) = 2[pic] – ⅔x |b. [pic] |c. [pic] |
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| |Polynomial?______ |Polynomial?______ |
|Polynomial?______ |Degree:______ |Degree:______ |
|Degree:______ L.C.:_______ |L.C.:_______ |L.C.:_______ |
|Type:______________ |Type:______________ |Type:______________ |
6. Draw simplified graphs of following functions
Consider x-intercepts, end behavior, and double roots
f(x)= - (x+1)2(x-2)(x+3) h(x)= x (x+3) 2
|[pic] | |
| |[pic] |
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7. Find all the following information for polynomial graphed below:
Number of turning points: ____
Lowest Degree: ______
Is the leading coefficient positive or negative? __________
Real Zeros: ________________
y-intercept: ______
Relative maximum(s):_______________________
Relative Minimum(s):_______________________
As x( +(, f(x) (____
As x( -(, f(x) (____
Increasing Intervals: _______________________________
Decreasing Intervals: ______________________________
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