If p(x) = x + 4 then p(x) + p(

Foundation

Mathematics Foundation

types of polynomial

Question

If p(x) = x + 4 then p(x) + p(–x) = ?

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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