Foundation
Mathematics Foundation
types of polynomial
Question
If p(x) = x + 4 then p(x) + p(– x) = ?
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Solution
Given p(x) = x + 4, we need to find p(x) + p(– x).
First, find p(– x): p(– x) = (– x) + 4 = – x + 4.
Now, add p(x) and p(– x):
p(x) + p(– x) = (x + 4) + (– x + 4) = x + 4 – x + 4 = 8
The x and –x terms cancel, leaving 4 + 4 = 8.
Final answer: 8