IFactor Command

IFactor( <Polynomial> ): Factors over the irrationals.

IFactor(x^2 + x - 1) gives $\left( x + \frac{-\sqrt{5} + 1}{2} \right) \left( x + \frac{\sqrt{5} + 1}{2} \right)$

CAS Syntax

IFactor( <Expression> ): Factors over the irrationals.

IFactor(x^2 + x - 1) returns $\left( x + \frac{-\sqrt{5} + 1}{2} \right) \left( x + \frac{\sqrt{5} + 1}{2} \right)$

IFactor( <Expression>, <Variable> ): Factors over the irrationals with respect to a given variable.

IFactor(a^2 + a - 1, a) returns $\left( a + \frac{-\sqrt{5} + 1}{2} \right) \left( a + \frac{\sqrt{5} + 1}{2} \right)$

See also CIFactor command.