Mathematics
Factors of 3x3 - 2x2 - 8x are :
x(3x2 - 2x - 8)
x(x - 2)(3x + 4)
2x(x - 4)(2x + 1)
x(x - 4)(2x + 1)
Factorisation
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Answer
Given,
⇒ 3x3 - 2x2 - 8x
⇒ x[3x2 - 2x - 8]
⇒ x[3x2 - 6x + 4x - 8]
⇒ x[3x(x - 2) + 4(x - 2)]
⇒ x[(3x + 4)(x - 2)]
⇒ x(3x + 4)(x - 2).
Hence, Option 2 is the correct option.
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Using Factor Theorem, show that :
(x - 2) is a factor of x3 - 2x2 - 9x + 18. Hence, factorise the expression x3 - 2x2 - 9x + 18 completely.