Divisor of Polynomial/Examples
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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:
- $\paren {x + i y} \paren {x - i y}$