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) $( x + 6 ) \left( - 4 x ^ { 2 } x - 3 + 5 \right) + 0$

Question

Quizplus · Accepted Answer

The synthetic division of $ f(x) = -4x^3 - 18x^2 + 41x + 30 $ by $ x + 6 $ results in the quotient $-4x^2 + 6x + 5$ with a remainder of 0.

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