Question

Find the quadratic polynomial whose zeros are 3 -
root 5 and 3 + root 5.

Answer 1

Hii There!!!


Let the zeroes of the polynomial be α and β .

Such that quadratic equation will be ;
x2 − (α + β)x + (αβ)

Given zeroes of the polynomial are  3+√5 and 3-√5


=> x2 − (3+√5 + 3 −√5)x + (3+√5)(3 −√5)

=> x2 − 6x + (9 −5)

 => x2 − 6x + 4 


Hence, required quadratic polynomial is
( x2 − 6x + 4).





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Hope it helps


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Answer 2

Hello Mate

Here is ur answer