$4 x ^ { 3 } + 5 x ^ { 2 } - 23 x - 6 = 0 ; - 3$
A) 2,-$\frac { 1 } { 4 }$
B) 2,-1
C) -2 ,$\frac { 1 } { 4 }$
D) 3,-2,1

Name: $4 x ^ { 3 } + 5 x ^ { 2 } - 23 x - 6 = 0 ; - 3$ A) 2,-$\frac { 1 } { 4 }$ B) 2,-1 C) -2 ,$\frac { 1 } { 4 }$ D) 3,-2,1
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Question

$4 x ^ { 3 } + 5 x ^ { 2 } - 23 x - 6 = 0 ; - 3$
A)  2,-$\frac { 1 } { 4 }$
B)  2,-1 
C)  -2 ,$\frac { 1 } { 4 }$
D)  3,-2,1

Quizplus · Accepted Answer

Given the polynomial equation $4x^3 + 5x^2 - 23x - 6 = 0$ and a root $x = -3$, we can use synthetic division or polynomial division to find the other roots. The correct roots are $2$ and $-\frac{1}{4}$, which matches option A.

4x3+5x2−23x−6=0;−34 x ^ { 3 } + 5 x ^ { 2 } - 23 x - 6 = 0 ; - 34x3+5x2−23x−6=0;−3

$4 x ^ { 3 } + 5 x ^ { 2 } - 23 x - 6 = 0 ; - 3$