Question

x^3-2x^2-x+2 factorise
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Answer 1

Answer:

For example, we can use grouping to write 2x² +8x+3x+12 as (2x+3)(x+4). ... We can factor these out to obtain the following expression: 2 x ( x + 4 ) + 3 ( x + ... 2x(x+4)+3(x+4)=(x+4)(2x+ 3).

Answer 2

Step-by-step explanation:

Given that x3 – 2x2 – x + 2

Grouping the 1st and 3nd terms together and the 2nd and 4th term together:

= x(x2 – 1) – 2(x2 – 1)

x3 – 2x2 – x + 2 = (x2 – 1) (x – 2)

Using the identity: a2 − b2 = (a + b) (a- b)

∴ (x2 – 1) = (x + 1)(x – 1)

= (x – 1) (x + 1) (x- 2)

∴ answer is (x – 1) (x + 1) (x- 2)

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