Question

factorise x^2 - 2x - 7

Answer 1

$\bold{Answer :}$

Now,

x² - 2x - 7

= x² - 2x + 1 - 1 - 7

= (x² - 2x + 1) - 8

= (x - 1)² - (2√2)²

= (x - 1 + 2√2) (x - 1 - 2√2),

which is the required factorization.

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