A.APR.B.3.ZerosofPolynomials.doc - JMAP



1 The graphs below represent functions defined by polynomials. For which function are the zeros of the polynomials 2 and [pic]?

|1) |[pic] |

|2) |[pic] |

|3) |[pic] |

|4) |[pic] |

2 The graph of [pic] is shown below. The points [pic], [pic], and [pic] lie on this graph.

[pic]

Which of these points can determine the zeros of the equation [pic]?

3 The zeros of the function [pic] are

4 The zeros of the function [pic] are

5 The zeros of the function [pic] are

6 What are the zeros of the function [pic]?

7 The zeros of the function [pic] are

8 The zeros of the function [pic] are

9 The zeros of the function [pic] are

10 Keith determines the zeros of the function [pic] to be [pic] and 5. What could be Keith's function?

11 For which function defined by a polynomial are the zeros of the polynomial [pic] and [pic]?

12 If [pic], which equation can be used to determine the zeros of the function?

|1) |[pic] |

|2) |[pic] |

|3) |[pic] |

|4) |[pic] |

13 Which function has zeros of -4 and 2?

|1) |[pic] |

|2) |[pic] |

|3) |[pic] |

|4) |[pic] |

14 Determine all the zeros of [pic], algebraically.

15 The function [pic] is defined by the expression [pic]. Use factoring to determine the zeros of [pic]. Explain what the zeros represent on the graph of [pic].

16 Find the zeros of [pic], algebraically.

17 Ryker is given the graph of the function [pic]. He wants to find the zeros of the function, but is unable to read them exactly from the graph.

[pic]

Find the zeros in simplest radical form.

18 What are the zeros of the polynomial function graphed below?

[pic]

19 Which polynomial function has zeros at [pic], 0, and 4?

20 The zeros of the function [pic] are

21 Explain how to determine the zeros of [pic]. State the zeros of the function.

22 Determine algebraically the zeros of [pic].

1 ANS: 3 REF: spr1302ai

2 ANS:

A and C, only

REF: 011909ai

3 ANS:

0 and 9

[pic]

REF: 012009ai

4 ANS:

[pic] and 6

[pic]

REF: 061804ai

5 ANS:

[pic] and 6

[pic]

REF: 061612ai

6 ANS:

15 and [pic]

[pic]

REF: 061510ai

7 ANS:

3 and [pic]

[pic]

REF: 011609ai

8 ANS:

[pic] and 2

[pic]

REF: 081513ai

9 ANS:

[pic] and 3

[pic]

REF: 081418ai

10 ANS:

[pic]

REF: 061412ai

11 ANS:

[pic]

[pic]

REF: spr1303ai

12 ANS: 2 REF: 081816ai

13 ANS: 4 REF: 011706ai

14 ANS:

[pic]

REF: 011826ai

15 ANS:

[pic] The zeros are the x-intercepts of [pic].

REF: 061733ai

16 ANS:

[pic]

REF: 081631ai

17 ANS:

[pic]

REF: fall1306ai

18 ANS:

[pic]

REF: 081501a2

19 ANS:

[pic]

REF: 061710ai

20 ANS:

[pic]

[pic]

REF: 081719ai

21 ANS:

Graph [pic] and find x-intercepts. [pic]

REF: 081825ai

22 ANS:

[pic]

REF: 011930ai

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