SOLUTION: For all x (not equal to) -4, which of the following is equivalent to the expression x^2 + 12x +32 / x + 4 x + 3 x + 8 x + 11 x + 16 x + 28 The answer is x + 8 but I don'

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For all x (not equal to) -4, which of the following is equivalent to the expression x^2 + 12x +32 / x + 4 x + 3 x + 8 x + 11 x + 16 x + 28 The answer is x + 8 but I don'      Log On


   



Question 29490: For all x (not equal to) -4, which of the following is equivalent to the expression x^2 + 12x +32 / x + 4
x + 3
x + 8
x + 11
x + 16
x + 28
The answer is x + 8 but I don't know how they got that answer! Thank you for your help!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
by saying "for all x not equal to -4" they are just saying that division by
zero is not allowed (-4 + 4 in the denominator)
x^2 + 12x +32 /(x + 4)
factoring numerator
(x + 8)(x + 4) / (x + 4)
cancel (x + 4) / (x + 4)
x + 8 answer