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What is the remainder theorm

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What is the remainder theorm

Posted by Rishu Kedia 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 9 months ago

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) = R
When the polynomial f(x) is divided by x - α, the remainder R = f(α) = value of f(x) when x is α.

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CBSE > Class 10 > Mathematics