Find the Quadratic polynomial having even prime as its zeroes
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Answer:
Form the quadratic polynomial whose zeroes are : 3−
5
,3+
5
.
Answer
The quadratic polynomial whose zeroes
areα,β is f(x)=k[x
2
−(α+β)x+α.β]
Where k is any non-zero real number.
The quadratic polynomial whose zeroes are 3−
5
,3+5
is
f(x)=k[x
2 −(3− 5+3+ 5 )x+(3− 5 )(3+ 5 )]
f(x)=k[x 2 −6x+(3) 2 −( 5 ) 2 ]
f(x)=k[x
2
−6x+(9−5)]
f(x)=k[x
2
−6x+4]
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