find the quadratic polynomial whose sum and product of zeroes are 21/8 , 5/16
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Hiii friend,
Let alpha and beta are the zeroes of the Quadratic polynomial.
Sum of zeroes = (Alpha + Beta) = 21/8
And,
Product of zeroes = (Alpha × Beta) = 5/16
Therefore,
Required Quadratic polynomial = X²-(Alpha + Beta)X + Alpha × Beta
=> X²-(21/8)X + 5/16
=> X²-21X/8 + 5/16
=> 16X²-42X+5/16 = 0
=> 16X²-42X+5 = 0
Hence,
Quadratic polynomial is 16X²-42X+5
HOPE IT WILL HELP YOU...... :-)
Let alpha and beta are the zeroes of the Quadratic polynomial.
Sum of zeroes = (Alpha + Beta) = 21/8
And,
Product of zeroes = (Alpha × Beta) = 5/16
Therefore,
Required Quadratic polynomial = X²-(Alpha + Beta)X + Alpha × Beta
=> X²-(21/8)X + 5/16
=> X²-21X/8 + 5/16
=> 16X²-42X+5/16 = 0
=> 16X²-42X+5 = 0
Hence,
Quadratic polynomial is 16X²-42X+5
HOPE IT WILL HELP YOU...... :-)
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