Question

if the product of two zeros of a polynomial f(x) =2x^3+6x^2-4x+a is 3 then find a​

Answer 1

Answer:

f(x)=2x

3

+6x

2

−4x+9

Let three zeroes be α,β,γ

Product of 3 zeroes=

a

−d

=

2

−9

Given Product of 2 zeroes =3

or α.β=3

⇒αβγ=

2

−9

⇒3γ=

2

−9

⇒γ=

2

−3

Third zero is

2

−3

Step-by-step explanation:

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