Properties of Polynomial Roots - Complex Conjugate Root Theorem

Complex Conjugate Root Theorem

The complex conjugate root theorem states that if the coefficients of a polynomial are real, then the non-real roots appear in pairs of the type a ± ib.

For example, the equation x2 + 1 = 0 has roots ±i.

Read more about this topic:  Properties Of Polynomial Roots

Famous quotes containing the words complex, root and/or theorem:

    Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.
    Diana Crane (b. 1933)

    Under an oak, whose antique root peeps out
    Upon the brook that brawls along this wood.
    William Shakespeare (1564–1616)

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)