What is the factored form of 2x³ - 6x² + 4x - 12 ?
Options
A
2(x - 3)(x² + 2)
B
2(x - 3)(x² - 2)
C
2(x + 3)(x² + 2)
D
2(x + 3)(x² - 2)
Answer & Analysis
Answer
A
Analysis
To factor the polynomial 2x³ - 6x² + 4x - 12, we can use the grouping method:
Step 1: Group the terms: (2x³ - 6x²) + (4x - 12)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2x²: 2x²(x - 3).
In the second group, we can factor out 4: 4(x - 3).
Now, we have: 2x²(x - 3) +
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