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What is the remainder theorm |
| Answer» Let p(x) be any polynomial of degree greater than or equal to 1 and let α be any real number. If p(x) is divided by the polynomial (x - α), then the remainder is p(α).In other words:If the polynomial f(x) is divided by x - α then the remainder R is given by f(x) = (x - α) q(x) + R, where q(x) is the quotient and R is a constant (because the degree of the remainder is less than the degree of the divisor x - α).Putting x = α, f(α) = (α - α)q(α) + R or f(α) = RWhen the polynomial f(x) is divided by x - α, the remainder R = f(α) = value of f(x) when x is α. | |