Attempt following question by selecting a choice to answer.
D
Factor
3x3 + 12x2 + 6x completely.
ccc DDDA.
D3
x(
x2 + 4
x + 2)
B.
D3
x(
x2 - 2
x + 4)
C.
D3
x(
x2 - 4
x + 2)
D.
Dx(
x2 + 4
x + 2)
DD
A
Step 1: Find the greatest common factor of 3x3, 12x2 and 6x.
Step 2: 3x3 = 3 × x × x × x[Write the factors.]
Step 3: 12x2 = 3 × 4 × x × x[Write the factors.]
Step 4: 6x = 2 × 3 × x[Write the factors.]
Step 5: GCF = 3 × x = 3x[Multiply the common factors.]
Step 6: 3x3 + 12x2 + 6x[Original expression.]
Step 7: = 3x(x2 + 4x + 2)[Use the distributive property to factor out the greatest common factor from each term.]