state remaindr theorem and factor theorem
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Remainder Theorem states that if polynomial ƒ(x) is divided by a linear binomial of the for (x - a) then the remainder will be ƒ(a). Factor Theorem states that if ƒ(a) = 0 in this case, then the binomial (x - a) is a factor of polynomial ƒ(x).
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Answer:
remainder theorem:
When we divide a polynomial f(x) by x−c the remainder is f(c)
factor theorem:
When f(c)=0 then x−c is a factor of f(x)
And the other way around, too:
When x−c is a factor of f(x) then f(c)=0
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