Question 1138498

{{{f(x)=2x^3+3x^2-12x+7}}}

step 1:write {{{3x^2}}} as {{{7x^2-4x^2}}}, and {{{-12x}}} as {{{-14x+2x}}}

{{{f(x)=2x^3+7x^2-4x^2-14x+2x+7}}}

step 2: group

{{{f(x)=(2x^3-4x^2)+(7x^2-14x)+(2x+7)}}}

step 3:factor out common {{{(2x+7)}}}

{{{f(x)=(x^2 - 2x+1)(2x + 7)}}}

step 4: apply rule square of difference

{{{f(x)=(x - 1)^2 (2x + 7)}}}