SOLUTION: I dont understand this question.... 3v^3 - 6v^2 + 2v - 4 My teacher would like me to factor each completely.... I dont understand how to do this problem..... please get back

Question 153938: I dont understand this question....
3v^3 - 6v^2 + 2v - 4
My teacher would like me to factor each completely.... I dont understand how to do this problem..... please get back to me asap
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
reducing this to a quadratic by finding a root is one way to factor

possible roots are factors of 4 (�1,�2,�4) divided by factors of 3 (�1,�3)
__ a root is a value for v that makes the expression equal to zero

2 is a root __ 3(2^3)-6(2^2)+2(2)-4=0

if 2 is a root, then v-2 is a factor

(3v^3-6v^2+2v-4)/(v-2)=(3v^2+2) __ this will not factor further

so, 3v^3-6v^2+2v-4=(v-2)(3v^2+2)
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