Question 775562
a. {{{2w^3 + 6w^2 - 4w}}}
(1) The common factor is 2w.
{{{2w(w^2 + 3w - 2)}}}
 
(2) Between w^2 + 3w, the common factor is w.
{{{2w(w(w + 3) - 2)}}}
 
b. {{{12c^3 - 30c^2}}}
(1) The common factor is 6y^2.
{{{6y^2(2y - 5)}}}
 
c. {{{2x^2 + 8x - 14}}}
(1) The common factor is 2.
{{{2(x^2 + 4x - 7)}}}
 
(2) Between x^2 + 4x , the common factor is x.
{{{2(x(x + 4) - 7)}}}
 
d. {{{4x^3 + 12x^2 + 16x}}}
(1) The common factor is 4x.
{{{4x(x^2 + 3x + 4)}}}
 
(2) Between x^2 + 3x, the common factor is x.
{{{4x(x(x + 3) + 4)}}}
 
e. {{{16m^3  - 8m^2  + 12m}}}
(1) The common factor is 4m.
{{{4m(4m^2 - 2m + 3)}}}
 
(2) Between 4m^2 - 2m, the common factor is 2m.
{{{4m(2m(2m - 1) + 3)}}}
          
f. {{{4a^3 - 20a^2 - 8a}}}
(1) The common factor is 4a.
{{{4a(a^2 - 5a - 2)}}}
 
(2) Between a^2 - 5a, the common factor is 2.
{{{4a(a(a - 5) - 2)}}}

g. {{{18c^4 - 9c^2 + 7c}}}
(1) The common factor is c.
{{{2(18c^3 - 9c + 7)}}}
 
(2) Between 18c^3 - 9c, the common factor is 9c.
{{{2(9c(2c^2 - 1) + 7)}}}
 
h. {{{6y^4 + 9y^3 - 27y^2}}}
(1) The common factor is 3y^2.
{{{3y^2(2y^2 + 3y - 9)}}}
 
(2) Between 2y^2 + 3y, the common factor is y.
{{{3y^2(y(2y + 3) - 9)}}}
 
i. {{{6c^2 - 3c}}}
(1) The common factor is 3c.
{{{3c(2c - 1)}}}