find the find the quadratic polynomial the sum of whose roots is root 2 and their product is 1 by 3
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not exactly but 4........
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Hii There!!
Here Given that :-
● alpha + beeta = √2 [sum of zeroes]
● alpha×beeta = 1/3 [ product of zeroes]
<<<<<<<<=====================>>>>>>>>>
Since , a Quadratic Polynomial is given by ;
k [ x2 - (sum of zeroes)x + (product of zeroes)]
=) k[ x2 - √2x + 1/3] =0
=) k [ 3x2 - 3√2x +1 whole divided by 3] = 0
=) k[ 3x2 - 3√2x + 1 ] = 0
Therefore, 3x2 - 3√2x +1 is the required quadratic polynomial.
______________________________
Hope it helps
#DK
dear P
Here Given that :-
● alpha + beeta = √2 [sum of zeroes]
● alpha×beeta = 1/3 [ product of zeroes]
<<<<<<<<=====================>>>>>>>>>
Since , a Quadratic Polynomial is given by ;
k [ x2 - (sum of zeroes)x + (product of zeroes)]
=) k[ x2 - √2x + 1/3] =0
=) k [ 3x2 - 3√2x +1 whole divided by 3] = 0
=) k[ 3x2 - 3√2x + 1 ] = 0
Therefore, 3x2 - 3√2x +1 is the required quadratic polynomial.
______________________________
Hope it helps
#DK
dear P
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