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Given That $f ( x ) = x ^ { 3 } + a x ^ { 2 } + b x$

Question 256

Multiple Choice

Given that $f ( x ) = x ^ { 3 } + a x ^ { 2 } + b x$ has critical numbers at $x = 1 \text { and } x = 3 \text {, }$ find a and b.

A) $- 9 ,$ 6
B) - 8, 7
C) - 7, 8
D) - 6, 9
E) - 9, 3
F) - 8, 4
G) - 7, 5
H) - 6, 6

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