Factor the polynomial by grouping (if possible). $3 v ^ { 2 } w - 21 v w - 3 v ^ { 2 } + 21 v$
A) $\left( 3 v ^ { 2 } - 21 w \right) ( w - 1 )$
B) $3 v w ( v - 7 ) - 3 v ( v - 7 )$
C) $3 v ( v - 7 ) ( w - 1 )$
D) Cannot be factored

Question

Quizplus · Accepted Answer

First, group the terms: $3v^2w - 3v^2 - 21vw + 21v$. Factoring out common terms gives: $3v(vw - v) - 21v(w - 1)$. Factoring further, we get: $3v(v - 7)(w - 1)$.

Factor the Polynomial by Grouping (If Possible) 3v2w−21vw−3v2+21v3 v ^ { 2 } w - 21 v w - 3 v ^ { 2 } + 21 v3v2w−21vw−3v2+21v

Factor the Polynomial by Grouping (If Possible) $3 v ^ { 2 } w - 21 v w - 3 v ^ { 2 } + 21 v$