Question

Factorise '2x³-5x²-14x+8'
Please give step by step explanation​

Answer 1

Answer:

2x³-5x²-14x+8

-14x-7x⁵+8

Answer 2

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• Factorise $2 {x}^{3} - 5 {x}^{2} - 14x + 8$

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$2 {x}^{3} - 5 {x}^{2} - 14x + 8$

$= 2 {x}^{3} + 4 {x}^{2} - 9 {x}^{2} - 18x + 4x + 8$

$= 2 {x}^{2} (x + 2) - 9x(x + 2) + 4(x + 2)$

$= (2 {x}^{2} - 9x + 8)(x + 2)$

$= (2 {x}^{2} - 8x - x + 4)(x + 2)$

$= (2x(x - 4) - 1(x - 4))(x + 2)$

$= (2x - 1)(x - 4)(x + 2)$

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• $(2x - 1)(x - 4)(x + 2)$