many functions meet those criteria, but one of them is
given roots:
y = (x - (1+√2))(x-(1-√2))
= x^2-2x-1
That has a y-intercept of -1. So, multiply it by 4. It has the same roots, but now y(0) = -4.
Zeroes at 1±sqrt(2) ,y-intercept at –4
f(x)=?
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