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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