3. If x-a is a factor of the given polynomial p(x) then a) p(x)=0 b)p(x)=p(a) c) p(a)=0 d)p(a)=1
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The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... In polynomial terms, since we're dividing by a linear factor (that is, a factor in which the degree on x is just an understood "1"), then the remainder must be a constant value.
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