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.

Updated on: 10-Oct-2022

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