Factorise 6x2−x−26x^2 - x - 2. Answer ...

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Worked solution

4

1. Find suitable terms to split the middle term

For 6x2−x−26x^2 - x - 2, compute 6×(−2)=−126\times(-2)=-12.
We need two numbers with product −12-12 and sum −1-1: −4-4 and 33.
So
6x2−x−2=6x2−4x+3x−2.6x^2 - x - 2 = 6x^2 - 4x + 3x - 2.

2. Factorise by grouping

6x2−4x+3x−26x^2 - 4x + 3x - 2
=2x(3x−2)+1(3x−2)=2x(3x-2)+1(3x-2)
=(3x−2)(2x+1).=(3x-2)(2x+1).

Answer

(3x−2)(2x+1)(3x - 2)(2x + 1)

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