Question

A polynomial whose zeroes are
1/alfa square and 1/ Beta square is​

Answer 1

Answer:

Step-by-step explanation:

Given that  and  are the zeroes of  

The algebraic identity is given by:

x-1=0 or x+1=0

∴ x=1 and x=-1

Since  and  are the zeroes we have that

∴  and  are the zeroes.

Now we find a quadratic polynomial whose zeroes are  and :

For a quadratic equation from the zeroes is given by

Since the zeroes are  and  

∴  

Put  and  we get

∴ Sum of the zeroes=-4

∴ Product of the zeroes=4

Now we can write a quadratic equation as

∴ the quadratic polynomial for the zeroes  and  where  and   is .

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