what is the difference between factor thoram and remainder theoram and it's definition
Answers
Answer:
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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Answer:
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
DEFINITION OF FACTOR THEOREM
the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if (i.e. is a root).
DEFINITION OF REMAINDER THEOREM
: a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x − a is f(a)
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