Question

Find a quadratic polynomial where sum and product of the zeroes are 21/8 & 5/16 respectively

Answer 1

let us assume the two zeroes to be x and y.

x + y= -b/a        xy= c/a
        = 21/8           =5/16
        =42/16

Therefore,
  a=16,  b=-42,  c=5

polynomial= ax^2 + bx + c
          p(x) = 16x^2 -42x + 5
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