factor therom
(3p^4-4p^3-3p-1)÷(p-1)
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sorry I didn't know the answer to this question....
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FACTOR THEOREM :-
If p(x) is a polynomial of degree n > 1 and a is any real number, then
• (x - a) is a factor of p(x) if p(a) = 0
Now, According to question,
If p - 1 = 0 then p = 1
So, if p(1) = 0 then (p - 1) is a factor of p(x).
Just x = 1 in given polynomial p(x)
p(x) = 3p^4 - 4p^3 - 3p - 1
p(1) = 3 - 4 - 3 - 1 = -5 ≠ 0
Therefore, form FACTOR THEOREM
(p - 1) is not a factor of p(x).
Hope it helps.
^_^
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