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Understanding Polynomial Functions
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Understanding Polynomial Functions
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4. Polynomial Functions / Understanding Polynomial Functions / Problema 2
Problema 2
Identify the zeros of the given polynomial function and state their multiplicities. Describe also how the graph behaves with the x-axis.
f(x) = x
3
+ 8x
2
- 9x - 72
A
x = -3 has multiplicity 1; x = 3 has multiplicity 1; x = -8 has multiplicity 1; The graph crosses the x-axis at -3, 3, and -8
B
x = -3 has multiplicity 1; x = 3 has multiplicity 1; x = -8 has multiplicity 1; The graph touches the x-axis and turns around at -3, 3, and -8
C
x = -3 has multiplicity 2; The graph touches the x-axis and turns around at -3; x = 3 has multiplicity 1; The graph crosses the x-axis at 3
D
x = -8 has multiplicity 2; The graph touches the x-axis and turns around at -8; x = 3 has multiplicity 1; The graph crosses the x-axis at 3
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