Question

Find the quadratic polynomial, sum and product is 2 nad -1 respectibely

Answer 1

$Heya$‼

As we know,
$Quadratic\:Polynomial=ax^2+bx+c$

Given that,
$Sum=2$
$Product=-1$

As we know,
$Sum\:of\:zeroes=\frac{-b}{a}$
$2 =\frac{-b}{a}$

$Product\:of\:zeroes=\frac{c}{a}$
$-1=\frac{c}{a}$

So, $a=1,b=-2\:and\:c=-1$

$Now,$
$Quadratic\:Polynomial$
$=1x^2-2x-1$
$=x^2-2x-1$