Question

find the quadratic polynomial the sum of and product of its zeros 4,1

Answer 1

quadratic polynomial = [
$x^{2} - x(sum of zeroes) + product of zeroes)$
sum of zeroes=4
product of zeroes=1

Therefore,
quadratic polynomial =
$x {}^{2} - 4x + 1$

Answer 2

Given that the sum of zeroes is 4and product of zeroes is 1 then the quadratic polynomial is x^2 minus 4x+1