Find a quadratic polynomial whose one zero is 7 and sum of zeroes is -18
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Hiii friend,
Let Alpha and beta are the two zeroes of the polynomial.
Let Alpha = 7
Sum of zeroes = -18
Alpha + Beta = -18
7 + Beta = -18
Beta = -18-7 = -25
Product of zeroes = (Alpha × beta) = 7 × -25 = -175
Therefore,
Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes
=> X²-(-18)X + (-175)
=> X²+18X-175
HOPE IT WILL HELP YOU..... :-)
Let Alpha and beta are the two zeroes of the polynomial.
Let Alpha = 7
Sum of zeroes = -18
Alpha + Beta = -18
7 + Beta = -18
Beta = -18-7 = -25
Product of zeroes = (Alpha × beta) = 7 × -25 = -175
Therefore,
Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes
=> X²-(-18)X + (-175)
=> X²+18X-175
HOPE IT WILL HELP YOU..... :-)
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