Question

Difference between remainder theorem and factor theorem?

Answer 1

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The remainder theorem states that if a polynomial P(x) is divided by x-a, then the remainder r is the same as evaluating the polynomial for P(a).This means that if a polynomial is divided by a factor x-a, there will always be a quotient and a remainder. Meanwhile, the factor theorem states that, for a polynomial P(x), x-a is a factor only if the remainder is 0.