Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = 3 x ^ { 4 } - 2 x ^ { 3 } - 10 x ^ { 2 } + 15 ; \quad k = 2$$

question 57

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.
- $$f ( x ) = 3 x ^ { 4 } - 2 x ^ { 3 } - 10 x ^ { 2 } + 15 ; \quad k = 2$$

• A) \(f ( x ) = ( x - 2 ) \left( 3 x ^ { 3 } + 4 x ^ { 2 } - 2 x - 4 \right) + 7\)
• B) \(f ( x ) = ( x - 2 ) \left( 3 x ^ { 3 } - 4 x ^ { 2 } - 2 x - 4 \right) + 7\)
• C) \(f ( x ) = ( x - 2 ) \left( 3 x ^ { 3 } + 4 x ^ { 2 } + 2 x + 4 \right) + 22\)
• D) \(f ( x ) = ( x - 2 ) \left( 3 x ^ { 3 } + 4 x ^ { 2 } - 2 x + 11 \right) + 22\)

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