Use Synthetic Division to Divide F(x)by X - C, and Then

question 132

Multiple Choice

Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c) q(x) + r.
- $$f ( x ) = - 4 x ^ { 3 } - 18 x ^ { 2 } + 41 x + 30 ; x + 6$$

• A) \(( x + 6 ) \left( - \frac { 2 } { 3 } x ^ { 2 } - 3 x + \frac { 41 } { 6 } \right) + 0\)
• B) \(( x + 6 ) \left( 4 x ^ { 2 } - 6 x + 5 \right) + 0\)
• C) \(( x + 6 ) \left( - 4 x ^ { 2 } + 6 x + 5 \right) + 0\)
• D) \(( x + 6 ) \left( - 4 x ^ { 2 } x - 3 + 5 \right) + 0\)

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