Question

E 10 Obtain all zeros of the polynomial (2x - 4x-x+2), if two of its
zeros are 2 and 2
(CBSE 2008C]
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Answer 1

Answer:

Given

2x3−x2−4x+2

Let α,β and γ are the zeros of the polynomial and 2,−2 are the zeros of the polynomial

⇒α+β+γ=a−b=2−(−1)=21

⇒2+(−2)+γ=21

⇒γ=21

∴ the other zeros of the given polynomial is 21