Our answer is [tex] -5x^{2} (3x^{2} +x+1) [/tex]
Our greatest common factor, or GCF, is [tex] -5x^{2} [/tex], so when we factor is out, our divide each term by [tex] -5x^{2} [/tex], we get our answer. To check this, we can multiply the [tex] -5x^{2} [/tex] back across the parenthesis and see if we get the same result as our initial question.
Hope this helped! :))