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

Aug 22, 2016

No

#### Explanation:

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

fx=${x}^{3} + 6 {x}^{2} - 7 x - 60$
f(5)=125+150-35-60 this is not zero so x-5 is not a factor