Find, whether the zeroes of the quadratic polynomial $x^2+99x+127$ are positive or negative.
Given: Quadratic polynomial $x^2+99x+127$.
To do: To find, whether the zeroes of the quadratic polynomial $x^2+99x+127$ are positive or negative.
Solution:
In a quadratic expression $ax^2+bx+c$, If $a,\ b,\ c$ will have the same sign
then the both zeroes of the expression are negative
On comparing given expression $x^2+99x+127$ with $ax^2+bx+c$,
$a=1,\ b = 99,\ c = 127$
All are positive sign,
Therefore, both zeroes of the expression has negative sign.
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