Answer
$6~cos^2x+5~cos~x-6=(3~cos~x-2)(2~cos~x+3)$
Work Step by Step
$6~cos^2x+5~cos~x-6=6~cos^2x+9~cos~x-4~cos~x-6=$
$3~cos~x~(2~cos~x+3)-2~(2~cos~x+3)=(3~cos~x-2)(2~cos~x+3)$
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