If yhe product of two zeroes of polynomial 2x^3+x^2-5x-6 is 3, then find its third zero.

Question

Mathematics

Micah Schmitt

7 April, 18:14

If yhe product of two zeroes of polynomial 2x^3+x^2-5x-6 is 3, then find its third zero.

+3

Answers (1)

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Baylee Schneider · Answer 1

1

Step-by-step explanation:

If a cubic polynomial ax³ + bx² + cx + d has three zeros α, β, and γ, then the product of the zeros is - d/a.

αβγ = - d/a

a = 2, d = - 6, and αβ = 3.

3γ = 3

γ = 1