Question

find a quadratic polynomial whose sum and product of its zeroes are -99 and 12 respectively​

Answer 1

Answer:

$x^{2}$ + 99x + 12

Step-by-step explanation:

general form of quadratic equation is

 k [$x^{2}$- ($\alpha$+$\beta$) + ($\alpha \beta$)]

 ($\alpha$+$\beta$) = -99

 ($\alpha \beta$) = 12

then,

  k [$x^{2}$ - (- 99)x + (12)]

  k [$x^{2}$ + 99x + 12]

     then automatically k = 1,

  1 [$x^{2}$ + 99x + 12]

   the required quadratic equation is $x^{2}$ + 99x + 12