SOLUTION: Find the roots of the polynomial function. f(x)=(x+5)(x^2+7)-(x+5)(6x+2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the roots of the polynomial function. f(x)=(x+5)(x^2+7)-(x+5)(6x+2)      Log On


   

Question 187655: Find the roots of the polynomial function.
f(x)=(x+5)(x^2+7)-(x+5)(6x+2)
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(x+5)(x^2+7)-(x+5)(6x+2)

f(x)=(x+5)[(x^2+7)-(6x+2)]


f(x)=(x+5)(x^2+7-6x-2)


f(x)=(x+5)(x^2-6x+5)


f(x)=(x+5)(x-5)(x-1)

0=(x+5)(x-5)(x-1)


x+5=0, x-5=0, or x-1=0

Roots: x=-5, x=5, or x=1