Answer
$6(x^2-2x-5)$
Work Step by Step
Write the prime factors of each term and identify the common factors. Multiply the common factors to find the greatest common factor.
$6x^2=\underline2\times\underline3\times x\times x$
$12x=2\times\underline2\times\underline3\times x$
$30=\underline2\times\underline3\times5$
GCF=$2\times3=6$
$6x^2-12x-30=6(x^2-2x-5)$