For which of the following does p(a)−p(b)=p(a−b) for all values of a and b?
Select: A) p(x)=x^2 B) p(x)=x/2 C) p(x)=x+5 D) p(x)=2x−1 E) p(x)=|x|
To solve this easiest way is just put the value and see that if it equals or not.   with option 1. p(a) = a^2 and p(b) = b^2   so L.H.S = a^2 - b^2   and R.H.S = (a-b)^2 ==&gt; a^2 + b^2 -2ab.   so L.H.S not equal to R.H.S   with option 2. p(a) = a/2 and p(b) = b/2   L.H.S = a/2 - b/2 ==&gt; 1/2(a-b)   R.H.S = (a-b)/2   so L.H.S = R.H.S which is the correct answer.   answer:p(x)=x/2
<result>B</result>
For which of the following does p(a)−p(b)=p(a−b) for all values of a and b?