## Elementary Technical Mathematics

$4x^2(x^2+2x+3)$
By taking a common factor, we have $$4x^4 + 8x^3 + 12x^2=4x^2(x^2+2x+3) .$$ The binomial $x^2+2x+3$ can not be factored since there are no real numbers such that the product is 3 and the sum is 2.