I want mathematica to factor the quadratic polynomial $a x^2 +b x +c$ into this standard form $a(x-r_1)(x-r_2)$ with $r_1=-\frac{b}{2a}+\frac{\sqrt{b^2-4ac}}{2a}$ and $r_2=-\frac{b}{2a}-\frac{\sqrt{b^2-4ac}}{2a}$. I tried Factor and its Extension option but I could not get anyting.

a Times @@ (y - # & /@ (x /. Solve[a x^2 + b x + c == 0, x]))
  • $\begingroup$ (+1) Thanks. :) But, why they really made Factor? :D Also, you missed the coefficient $a$. :) $\endgroup$ – H. R. Mar 7 '18 at 17:13
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    $\begingroup$ @H.R. This is similar to mathematica.stackexchange.com/a/8258/4999 $\endgroup$ – Michael E2 Mar 7 '18 at 17:28
  • $\begingroup$ @MichaelE2: Yes, you are right. I just saw that before you mentioned. :) Thanks by the way. :) $\endgroup$ – H. R. Mar 7 '18 at 17:33

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