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Multiple choice-factoring, graphing & polynomial functions

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2. How many zeros does the following power function have? *

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0

1

2

3

4

3. A polynomial has a degree of 9. Which of the following statement MUST BE true?

The graph can have a maximum of 8 turning points and a minimum of no zeros

The graph can have a maximum of 8 turning points and a minimum of one zero

The graph can have a maximum of 9 turning points and a minimum of one zero.

The graph can have a minimum of 1 turning point and a maximum of 9 zeros.

The graph can have a minimum of 2 turning points and a minimum of 1 zero.

4. A polynomial function has 6 zeros and 4 turning points. Which of the following MUST be true? *

The polynomial has a degree of 6

The polynomial has a degree of 5.

The polynomial has an even degree greater than or equal to 6.

The polynomial has an odd degree greater than or equal to 7.

5. Given the polynomial, what is the remainder when f(x) is divided by (x-1)? *

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-19

-15

-9

-3

6. Given a polynomial function f(x), it is known that f(2) = 8 and f(-5) = 0. Which of the following statement(s) MUST be true? *

(x+2) is not a factor

(x-2) is not a factor

(x-5) is a factor

(x+5) is not a factor

7. Using long division, divide and state the answer: *

Captionless Image

4x+2

4x-2

x-2

x+2

8. What was the remainder when you divided: *

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14

-18

8x-14

2x-8

9. Which of the following functions can have a degree of 6? *

Option 1

Option 2

Option 3

option 4 There are two graphs that can have a degree of 6.

option 5 There are three graphs that can have a degree of 6.

12. What is the leading coefficient of f(x)? *

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-7.5

-15

-18

-30

13. Given the following polynomial, what is the value of ‘k’ if the remainder is 37 when it is divided by (x-2)? *

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-32

0

4

18.5

14. A polynomial has a negative leading coefficient and a degree higher than 5. What must be true about the end behaviours as x approaches infinity?

y approaches infinity

y approaches negative infinity

y can approach either negative or positive infinity

there is not enough information to provide an answer


*Please refer to the pdf document linked below tosee the other part to the homework questions. thank you*







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