maths. cubic polynomial ,
Attachments:
Answers
Answered by
5
EXPLANATION.
If α, β, γ are the zeroes of the polynomial.
⇒ 2x³ - 6x² - 4x + 30.
As we know that,
Sum of the zeroes of the cubic polynomial.
⇒ α + β + γ = -b/a.
⇒ α + β + γ = -(-6)/2 = 3.
Products of the zeroes of the cubic polynomial two at a time.
⇒ αβ + βγ + γα = c/a.
⇒ αβ + βγ + γα = (-4/2) = -2.
Products of the zeroes of the cubic polynomial.
⇒ αβγ = -d/a.
⇒ αβγ = -(30)/2 = -15.
To find :
αβ + βγ + γα = -2.
Option [A] is correct answer.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
Similar questions