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Question
Factors of 3x3 – 2x2 – 8x are ______.
Options
x(3x2 – 2x – 8)
x(x – 2)(3x + 4)
2x(x – 4)(2x + 1)
x(x – 4)(2x + 1)
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Solution
Factors of 3x3 – 2x2 – 8x are x(x – 2)(3x + 4).
Explanation:
3x3 – 2x2 – 8x = x(3x2 – 2x – 8)
= x(3x2 – 6x + 4x – 8)
= x[3x(x – 2) + 4(x – 2)]
= x(3x + 4)(x – 2)
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