4 - Roots of Polynomials Flashcards
What is the value of α +
β in a quadratic equation?
-b/a.
What is the value of αβ in a quadratic equation?
c/a.
What is the value of the coefficient b in a quadratic equation?
-a( α + β)
What is the value of the coefficient c in a quadratic equation?
aαβ.
What is the value of the coefficient b in a cubic equation?
-a(α + β + γ).
What is the value of the coefficient c in a cubic equation?
a(αβ + βγ + γα).
What is the value of the coefficient d in a cubic equation?
-aαβγ.
What is the value of α + β + γ in a cubic equation?
-b/a.
What is the value of αβ + βγ + γα in a cubic equation
c/a.
What is the value of αβγ in a cubic equation?
-d/a.
What is the value of the coefficient b in a quartic equation?
-a( α + β + γ + δ).
What is the value of the coefficient c in a quartic equation?
a(αβ + βγ +γα + γδ + αδ + βδ).
What is the value of the coefficient d in a quartic equation?
-a(αβγ + αβδ + αγδ + βγδ).
What is the value of the coefficient e in a quartic equation?
aαβγδ.
What is the value of α + β + γ + δ in a quartic equation?
-b/a.
What is the value of αβ + αγ + αδ + βγ + βδ + γδ in a quartic equation?
c/a.
What is the value of αβγ + αβδ + αγδ + βγδ in a quartic equation?
-d/a.
What is the value of αβγδ in a quartic equation?
e/a.
