How can I factorise \(\displaystyle{x}^{{2}}-{2}{x}-{1}\) into

aidinacol7

aidinacol7

Answered question

2022-03-27

How can I factorise x22x1 into (x21)(x+21)?

Answer & Explanation

Ronald Martinez

Ronald Martinez

Beginner2022-03-28Added 7 answers

Find its roots. If α and β are the roots of a monic quadratic polynomial x2+ax+b, then
x2+ax+b=(xα)(xβ).
More generally, if the roots of the n-th degree monic polynomial P(x) are α1,α2,,αn, then
P(x)=(xα1)(xα2)(xαn).

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