Question 249902
I'm assuming you want to factor this right?




{{{x^3+6x^2+7x+42}}} Start with the given expression



{{{(x^3+6x^2)+(7x+42)}}} Group like terms



{{{x^2(x+6)+7(x+6)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{7}}} out of the second group



{{{(x^2+7)(x+6)}}} Since we have the common term {{{x+6}}}, we can combine like terms



So {{{x^3+6x^2+7x+42}}} factors to {{{(x^2+7)(x+6)}}}



In other words, {{{x^3+6x^2+7x+42=(x^2+7)(x+6)}}}