Question

Factorise :
(1) X3-2x2-x+2​

Answer 1

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$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-Factorise:-

${x}^{3} - 2 {x}^{2} - x + 2$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⟹ {x}^{2} - 2 {x}^{2} - x + 2$

$⟹ {x}^{2} (x - 2) - 1(x - 2)$

$⟹( {x}^{2} - 1)(x - 2)$

$⟹ {x}^{2} - 1 = 0 ⟹ x = 1$

$⟹x - 2 = 0⟹x = 2$

$⟹x = 1 \: and \: x = 2$

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Answer:

x³-2x²-x+2

x²(x-2)-(x-2)

(x-2)(x²-1)

*by using the identity a²-b²=(a+b)(a-b)

(x-2)(x-1)(x+1)

(x-2)=0

x=2

x-1=0

x=1

x+1=0

x=-1

the above solution is also correct but its a cubic equation so it has 3 roots