Factorise 2x³ -3x²- 3x +2
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answered Feb 25, 2019 by priya12 (-12,625 points)
Given expression is 2x3 – x2 – px - 2 and x – 2 is the factor.
(i) x – 2 = 0, x = 2 in expression
2(2)3 – (2)2 – p(2) – 2 = 0
16 – 4 – 2p – 2 = 0
10 – 2p = 0
p = 5
∴ 2x3 – x2 – 5x – 2 = (x – 2)(2x2 + 3x + 1)
The expression can be the written as
(2x2 + 3x + 1)(x – 2) or (2x + 1)(x + 1)(x – 2)
I hope it helps❤️
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