Find a quadratic polynomial each with th...

Find a quadratic polynomial each with the given number as the sum and product of its zeroes re-spectively.
i] `(1)/(4), -1`
ii] `sqrt(2), (1)/(3)`
iii] `0,sqrt(5)`
iv] 1,1
v] `- (1)/(4),(1)/(4)`
vi] 4,1

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The correct Answer is:

i] `4 x^(2) - x - 4`
ii] `3x^(2) - 3 sqrt(2) xx + 1`
iii] `x^(2) + sqrt(5)`
iv] `x^(2) - x + 1`
v] `4x^(2) + x + 1`
vi] `x^(2) - 4x + 1`

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