Question

If two zeroes are 2√2 and -2√2 obtain all the zeroes of polynomial

x² + 5x³ - 2x² - 40x - 48​

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Obtain all the zeroes of the polynomial 2x

3

−4x−x

2

+2, if two of its zeros are

2

and −

2

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Answer

Given

2x

3

−x

2

−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)

=

2

1

⇒

2

+(

−2

)+γ=

2

1

⇒γ=

2

1

∴ the other zeros of the given polynomial is

2

1