Question

Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively
$1,1$

Answer 1

$x^2$-(sum of zeros) $x$ + (product of years) = $0$

$\Rightarrow x^2-\left(1\right)x+\left(1\right)=0$

$\Rightarrow x^2-x+1=0$