Is x-5 a factor of #x^3+6x^2-7x-60#?
The factor theorem states that if , for a given function f(x) , f(a)=0 then x-a is a factor of f(x)
Think about the function (x-5)(
Clearly x-5 is a factor and if you substitute 5 into the function the result will be 0
f(5)=125+150-35-60 this is not zero so x-5 is not a factor