Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; k = 3$$

question 379

Multiple Choice

Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form f(x) = (x - k) q(x) + r for
the given value of k.
- $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; k = 3$$

• A) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + x ^ { 2 } - x + 3 \right) + 9\)
• B) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)
• C) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 2 } + 2 x \right)\)
• D) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)

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Definitions:

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A statistical technique that combines the results of multiple scientific studies to derive a more precise estimate of the effect size or outcomes.

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A brief, attachment-focused psychotherapy that centers on resolving interpersonal problems and symptomatic recovery.

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A short-term structured therapy focusing on improving interpersonal relationships and communication patterns to alleviate depressive symptoms.