Question

If $1-i$ and $1+i$ are zeroes of the polynomial $x^2+ax+b$, $(a,b\in R)$ then sum of the values of $a$ and $b$ is _____

Answer 1

roots $=1-i,1+i$

sum of roots $=2=-a\to a=-2$

product of roots $=(1-i)(1+i)=1+1=2=b$

$b=2$