find the product of the zeros of the polynomial 4x3-7x2+3x-2
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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
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