Question

How do you factor the expression $x^2-6x+5$?

Answer 1

$(x-5)(x-1)$

Explanation:

The corresponding equation is $x^2-6x+5=0$

$D=36-20$

$D=16$

$x_1=\frac{6+\sqrt{16}}{2}=\frac{10}{2}=5$

$x_2=\frac{6-\sqrt{16}}{2}=\frac{2}{2}=1$

So the expression becomes: $(x-5)(x-1)$