Mathematics
Remainder Theorem
Find remainder without performing division.
Remainder = f(a) when f(x) is divided by (x - a)
Formula Explanation
When a polynomial is divided by a linear factor (x - a), the remainder is the value of the polynomial at x = a.
Variables Explained
f(x) = polynomial; a = root of divisor.
Solved Example
Find remainder when x³ - 2x + 1 is divided by (x - 1).
f(1) = 1 - 2 + 1 = 0.