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Factorisation of Quadratic Polynomials - Factor Theorem

If a polynomi...

Question

If a polynomial f(x) is divided by (x - a), the remainder obtained is _______.

A

x

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B

f(x)

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C

f(a)

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D

f(x - a)

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Solution

The correct option is C f(a)

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Similar questions

Q. If a polynomial

f (x)

x - a

, then remainder is

Q. If a polynomial

p (x)

(x - a)

, then the remainder obtained is

p (a) .

Q. If a polynomial p(x) is divided by (x-a), and the remainder is zero. Then (x-a) is a of the polynomial p(x).

Q. The remainder obtained when a polynomial f(x) is divided by (x+a) is equal to f(-a).

Q. Assertion (A) : The remainder obtained when the polynomial

x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81

is divided by x - 3 is 81.
Reason (R) : The remainder obtained when the polynomial f(x) is divided by x - a is f (a).

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