1.

Write a polynomial whose one zero is 3+5 ^1/2​

Answer»

The quadratic polynomial is .

Let x,y be the TWO TERMS, such that

Thus, substituting the value of  in the above equation, we get

Now, by taking conjugation of , we get  

Now, by SIMPLIFYING the above TERM, we get

We KNOW that,

Formula for sum of zeros

Thus,

The Sum of zeros

The Product of zeros (x+y) = 6

Therefore, the general formula for quadratic polynomial  is  

Therefore, the quadratic polynomial is .

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