SOLUTION: Factor each polynomial and factoring them. a. 2w3 + 6w2 - 4w b. 12c3 - 30c2 c. 2x2 + 8x - 14 d. 4x3 + 12x2 + 16x e. 16m3 - 8m2 + 12m

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each polynomial and factoring them. a. 2w3 + 6w2 - 4w b. 12c3 - 30c2 c. 2x2 + 8x - 14 d. 4x3 + 12x2 + 16x e. 16m3 - 8m2 + 12m       Log On


   

Question 775562: Factor each polynomial and factoring them.

a. 2w3 + 6w2 - 4w b. 12c3 - 30c2
c. 2x2 + 8x - 14
d. 4x3 + 12x2 + 16x e. 16m3 - 8m2 + 12m
f. 4a3 - 20a2 - 8a
g. 18c4 - 9c2 + 7c h. 6y4 + 9y3 - 27y2 i. 6c2 - 3c
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
a. 2w%5E3+%2B+6w%5E2+-+4w
(1) The common factor is 2w.
2w%28w%5E2+%2B+3w+-+2%29

(2) Between w^2 + 3w, the common factor is w.
2w%28w%28w+%2B+3%29+-+2%29

b. 12c%5E3+-+30c%5E2
(1) The common factor is 6y^2.
6y%5E2%282y+-+5%29

c. 2x%5E2+%2B+8x+-+14
(1) The common factor is 2.
2%28x%5E2+%2B+4x+-+7%29

(2) Between x^2 + 4x , the common factor is x.
2%28x%28x+%2B+4%29+-+7%29

d. 4x%5E3+%2B+12x%5E2+%2B+16x
(1) The common factor is 4x.
4x%28x%5E2+%2B+3x+%2B+4%29

(2) Between x^2 + 3x, the common factor is x.
4x%28x%28x+%2B+3%29+%2B+4%29

e. 16m%5E3++-+8m%5E2++%2B+12m
(1) The common factor is 4m.
4m%284m%5E2+-+2m+%2B+3%29

(2) Between 4m^2 - 2m, the common factor is 2m.
4m%282m%282m+-+1%29+%2B+3%29

f. 4a%5E3+-+20a%5E2+-+8a
(1) The common factor is 4a.
4a%28a%5E2+-+5a+-+2%29

(2) Between a^2 - 5a, the common factor is 2.
4a%28a%28a+-+5%29+-+2%29
g. 18c%5E4+-+9c%5E2+%2B+7c
(1) The common factor is c.
2%2818c%5E3+-+9c+%2B+7%29

(2) Between 18c^3 - 9c, the common factor is 9c.
2%289c%282c%5E2+-+1%29+%2B+7%29

h. 6y%5E4+%2B+9y%5E3+-+27y%5E2
(1) The common factor is 3y^2.
3y%5E2%282y%5E2+%2B+3y+-+9%29

(2) Between 2y^2 + 3y, the common factor is y.
3y%5E2%28y%282y+%2B+3%29+-+9%29

i. 6c%5E2+-+3c
(1) The common factor is 3c.
3c%282c+-+1%29