Question 59005
HINT: When there are four terms, they usually want you to factor by grouping.
factor comletely with respect to the intergers 
{{{4x^3-8x^2+3x-6}}}  Group the first 2 terms and the last four terms
{{{(4x^3-8x^2)+(3x-6)}}}  Factor the GCF out of each group
{{{4x^2(x-2)+3(x-2)}}}  Factor the group out
{{{(x-2)(4x^2+3)}}}
Happy Calculating!!!