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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Definitions:

Soto School

A school of Zen Buddhism founded by Dogen in Japan in the 13th century, emphasizing meditation and the direct transmission of teachings.

Zen

A Japanese Buddhist sect and its doctrine, emphasizing enlightenment through intuition and introspection rather than the study of scripture. In Chinese, Chan.

Chan

A form of Mahayana Buddhism that emphasizes meditation and the intuitive understanding of wisdom, originating in China.

Zhuan

In Chinese literature, refers to seal script, an ancient style of calligraphy used in China, or to historical narrative or commentary writings.