One solution of a polynomial equation is given. Use synthetic division to find any remaining solutions.
-$$- 3 x ^ { 4 } + 12 x ^ { 3 } + 3 x ^ { 2 } - 48 x + 36 = 0 ; 2$$
A) $3,1 , - 2$
B) $3 , - 3,1$
C) $- 2,3 , - 3$
D) $- 2 , - 3 , - 1$

Question

Quizplus · Accepted Answer

Given a solution of $x = 2$, synthetic division can be used to reduce the polynomial and find the remaining solutions. The remaining solutions are $x = 3$, $x = 1$, and $x = -2$.

One Solution of a Polynomial Equation Is Given −3x4+12x3+3x2−48x+36=0;2- 3 x ^ { 4 } + 12 x ^ { 3 } + 3 x ^ { 2 } - 48 x + 36 = 0 ; 2−3x4+12x3+3x2−48x+36=0;2

One Solution of a Polynomial Equation Is Given $- 3 x ^ { 4 } + 12 x ^ { 3 } + 3 x ^ { 2 } - 48 x + 36 = 0 ; 2$