Question

find quadratic polynomial whare sum of zero = 4 product of zero= 1
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Answer 1

let a and b are the zeros of the polynomial

and ,

a+b=4

ab=1

quadratic equation in terms of its zeros

${x }^{2} - (a + b)x + ab$

on putting values of a+b and ab in equation we get,

$x {}^{2} - 4x + 1$