Question

4. Use factor theorem to verify that (x + a) is a factor of xn + an for any odd positive integer.
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Answer 1

Step-by-step explanation:

Use factor theorem to prove that (x+a) is a factor of (xn+an) for any odd positive integer n . ... Let p(x)=(xn+an), where n is any odd positive integer. Let g(x)=x+a. Then,g(x)=0⇒x+a=0⇒x=-a.