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Find The QUADRATIC POLYNOMIAL the sum of whose roots is √2 and there product is 1/3.
Putting the values
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◾Given that ,
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Sum of Zeroes => √2
Product of Zeroes => 1/3
To find : p ( x )
◾Here we can use the formula ,
p ( x ) = x² - sx + p
=> x² - √2x + 1/3 = 0
= Taking LCM,
LCM = 3
The Above equAtion becomes ,
3x² - 3√2 x + 1
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✤Qᴜᴇꜱᴛɪᴏɴ :-
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Find The QUADRATIC POLYNOMIAL the sum of whose roots is √2 and there product is 1/3.
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✤ᴡʜᴀᴛ ᴛᴏ ᴅᴏ :-
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✤ɢɪᴠᴇɴ
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✤ꜱᴏʟᴜᴛɪᴏɴ :-
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We know that,
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Putting the values
Taking the LCM
Multiply it by the constant term k
Let k = 3
So, the required polynomial is :-
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