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  • A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is________.?

A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is________.?

Answers (3)

best_answer

Solution : we have,

\alpha =6 ;alpha +eta =0Rightarrow eta =-6

\ k[x^2-(alpha +eta )x+alpha imes eta ]\ \ Rightarrow k[x^2-36]

Posted by

Deependra Verma

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we Know that the quadratic Polynomial have 2 zeros alpha and beta 

One zero=6

Sum of zeros=0

Alpha+beta=0

6+beta=0 =>beta=-6

Another zero is -6

Sum of two zeros=0

Product of two zeros=(6)(-6)=-36

X²-(S)X+p=X²-(0)X+(-36)=X²-36

Hence, the quadratic polynomial is x²-36

 

Posted by

Susree

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X^2-36

Posted by

svop

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