Divisor of Polynomial/Examples

Examples of Divisors of Polynomials

Arbitrary Example $1$

The expressions:

$x - 1$

$x + 2$

are divisors of the polynomial $x^2 + x - 2$

Arbitrary Example $2$

The polynomial:

$2 x^2 + 1$

can be expressed in terms of its divisors as:

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

Arbitrary Example $3$

The polynomial:

$x^2 - 2$

can be expressed in terms of its divisors as:

$\paren {x + \sqrt 2} \paren {x - \sqrt 2}$

Arbitrary Example $4$

The polynomial:

$x^2 + y^2$

can be expressed in terms of its divisors as:

$\paren {x + i y} \paren {x - i y}$