Question

If alpha beta are zeros of the polynomial p(x), then find the polynomial p(x)

Answer 1

Answer:

The given equation is P(x)=x

2

−3x+2k

Comparing with the standard form of quadratic polynomial ax

2

+bx+c=0 we get

a=1,b=−3,c=2k

We know that α=

2a

−b+

D

,β=

2a

−b−

D

, where D=b

2

−4ac

Then we get,

α+β=

a

−b

=

1

−(−3)

α.β=

a

c

=

1

2k

Now, α+β=α.β ...... (Given)

∴3=2k

∴k=

2

3

Answer 2

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