Question

Find the roots of each quadratic equation by factoring. X² - 8x + 15

Answer 1

Given,

$x^2-8x+15=0$

To find the roots

$\begin{gathered} x^2-8x+15=x^2-3x-5x+15 \\ =x(x-3)-5(x-3) \\ =(x-3)(x-5) \end{gathered}$

The required roots are,

$(x-3)(x-5)$