why do we factor the roots of an equation as $x-x_1$ and not $x+x_2$. In the quadratic formula b= the sum of the roots multiplied by the leading coefficient and -.
2026-03-28 15:36:50.1774712210
why do we factor the roots of an equation as $x-x_1$ and not $x+x_2$
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If you factor a polynomial then the product is $\ 0\ $ if and only if one of the factors is $\ 0\ $. Hence, the solution $\ x_1\ $ corresponds to the factor $\ x-x_1\ $ which is $\ 0\ $ for $\ x=x_1\ $.