If a polynomial p(x) is divided by x-a, then it's remainder.
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Answer:
If a polynomial p(x) is divided by x-a, then it's remainder is p(a).
Step-by-step explanation:
Remainder theorem: According to the remainder theorem, if a polynomial P(x) is divided by the polynomial (x-c), then the remainder is defined as P(c).
In the given problem,
Polynomial = p(x)
Divisor = x-a
For the given problem c=a.
Using remainder remainder theorem if a polynomial p(x) is divided by x-a, then it's remainder is p(a).
Therefore, the remainder of given division problem is p(a).
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