Find A Quadratic Polynimial If The Sum Of Whose Zeros Is 1 And The Sum Of Their Reciprocal Is 16

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Answers:

Here you have to use the formula to find the algebraic expression
i.e, p(x) =  x ² – (a+b) x + ab
Here, a+b = -1
And reciprocal of ab = 1/6
Therefore, ab = 6
p(x) = x²-(-1)x+6
        =x²+1x+6
         = x²+x+6