Math, asked by Anonymous, 1 year ago

Do factor theorem and remainder theorem are converse of each other?

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Answers

Answered by nikki1231
1
The two theorems are similar, but refer to different things.
See explanation.

Explanation:

The remainder theorem tells us that for any polynomial f(x), if you divide it by the binomial x−a, the remainder is equal to the value of f(a).

The factor theorem tells us that if a is a zero of a polynomial f(x), then (x−a) is a factor of f(x), and vice-versa.

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