How do you factor x^2-7?
justaguide | Certified Educator
Use the relation a^2 - b^2 = (a - b)(a + b)
`x^2 - 7`
= `x^2 - (sqrt 7)^2`
=> `(x - sqrt 7)(x + sqrt 7)`
It should be noted that x^2 - 7 does not have rational factors.
The expression `x^2 - 7 = (x - sqrt 7)(x + sqrt 7)`