Is x-5 a factor of #x^3+6x^2-7x-60#?

1 Answer
Aug 22, 2016



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)(#x^2+3x-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