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)`