in algebra, the polynomial remainder theorem has something to do with the remainder of dividing polynomials by things
if is divided by then the remainder is equal to
example
dividing by gives the quotient and the remainder
therefore,
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in algebra, the polynomial remainder theorem has something to do with the remainder of dividing polynomials by things
if f(x) is divided by (ax+b) then the remainder is equal to f(a−b)
f(x)=x3−12x2−42
dividing f(x) by (x−3) gives the quotient x2−9x−27 and the remainder −123
therefore, f(3)=−123