Answer
$2x(7x^2-x+4)$
Work Step by Step
Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$14x^3=7\times\underline 2\times\underline x\times x\times x$
$2x^2=\underline 2\times\underline x\times x$
$8x=\underline 2\times2\times2\times\underline x$
GCF $=2\times x=2x$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$14x^3-2x^2+8x=2x(7x^2-x+4)$
