Write the Function in the Form F(x)= (X - K)q(x) $f ( x ) = x ^ { 3 } - 1 x ^ { 2 } - 14 x + 12 \quad k = 4$

question 31

Multiple Choice

Write the function in the form f(x) = (x - k) q(x) + r for the given value of k and demonstrate that f(k) = r.​ $f ( x ) = x ^ { 3 } - 1 x ^ { 2 } - 14 x + 12 \quad k = 4$

• A) \(( x - 4 ) \left( x ^ { 2 } - 3 x - 2 \right) + 4\)
• B) \(( x + 4 ) \left( x ^ { 2 } + 3 x - 2 \right) + 4\)
• C) \(( x - 4 ) \left( x ^ { 2 } + 3 x - 2 \right) + 4\)
• D) \(( x - 4 ) \left( x ^ { 2 } + 3 x - 2 \right) - 4\)
• E) \[( x - 4 ) \left( x ^ { 2 } - 3 x - 2 \right) + 4\]

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