Show that (x-1)(x-3) is a factor of P(x) = x^p(3^q-1)+x^q(1-3^p)+(3^p-3^q) where p and q are positive integers.
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Originally Posted by xwrathbringerx Show that (x-1)(x-3) is a factor of P(x) = x^p(3^q-1)+x^q(1-3^p)+(3^p-3^q) where p and q are positive integers. Show us your work so far and we can help you where you go wrong. Have you tried subbing in the values of 1 and 3, see what you get?
Ummm P(1) = 1^p.3^q - 1^p + 1^q -1^q.3^p+3^p-3^q P(3)=0 I've got these but I have no idea how to use that to demonstrate what is required ... Is it because P(3) = 0, it means (x-3) is a factor and SO (x-1)(x-3) is???
Hello, xwrathbringerx! You had it . . . and didn't know it. Show that is a factor of: . where and are positive integers. Fact: .If , then is a factor of . . Therefore, is a factor of . . Therefore, is a factor of
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