Reducible Polynomial/Examples/x^2-1

Example of Reducible Polynomial

The polynomial over $\R$:

$x^2 - 1$

is reducible, as it can be factorized as follows:

$x^2 - 1 = \paren {x + 1} \paren {x - 1}$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): reducible polynomial
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): reducible polynomial