Question

If the product of the two zeroes of polynomial 2x^3+3x^2-5x-6 is 3. Find its trd zero

Answer 1

Hey!

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Let alpha ( @ ) , beta ( ß ) and gamma ( γ ) be zeroes of the polynomial given.

p (x) = 2x^3+3x^2-5x-6

Where ,

a = 2
b = 3
c = -5
d = -6

@ßγ = - d / a
@ßγ = -(-6)/2
@ßγ = 6/2
@ßγ = 3

And according to Question, product of two zeroes = 3

3 × γ = 3
γ = 1

The value of third zero is 1

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Hope it helps...!!!