Question

find the zeros of the polynomial p(x) = x^3 + 4x^2 + x - 6, if it's given. The product of two of its zeros is 6
​

Answer 1

Step-by-step explanation:

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