Get the app Socratic and then take a pic, it will explain it better than anybody on here can
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We have to take out the greatest common factor from the given polynomial to factorize the expression. If you observe the terms of the polynomial, the greatest factor that is common to all the terms is

. So taking it out as common, the factorization of the polynomial will be:

So the option C gives the correct answer
Answer:
g(x) = |x-5|
Step-by-step explanation:
f(x) = |x|
y = f(x + C) C < 0 moves it right
g(x) = |x-5| moves it to the right 5 units