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Byju's Answer

Standard IX

Mathematics

Remainder Theorem

The remainder...

Question

The remainder theorem states that
"When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

True

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False

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Solution

The correct option is A
True

The given statement is true because the remainder theorem states that:
"When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

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Similar questions

The remainder theorem states that if a polynomial say p(x) is divided by (x-a) (where a is any real number) then the remainder will be p(a).

Let there be a polynomial P(x) and any real number ‘a’. When the polynomial P(x) is divided by (x – a) the remainder obtained is P(a). The above statement is often concluded as

Q. Let

p (x)

be a polynomial such that when

p (x)

is divided by

(x - 19)

, the remainder is

99

and when

p (x)

is divided by

(x - 99)

, the remainder is

19

. The remainder when

p (x)

is divided by

(x - 19) (x - 99)

is?

Q. Let

p (x)

be any polynomial. When it is divided by

(x - 19)

and

(x - 91)

, then the remainders are

91

and

19

respectively. The remainder, when

p (x)

is divided by

(x - 19) (x - 91)

, is:

Q. P(x) be any polynomial. When it is divided by

(x - 17)

and

(x - 71)

, then the remainders are 71 and 17 respectively. Find remainder, when

P (x)

is divided by

(x - 17) (x - 71)

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The remainder theorem states that "When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

The correct option is A True The given statement is true because the remainder theorem states that: "When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

The remainder theorem states that
"When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

The correct option is A
True

The given statement is true because the remainder theorem states that:
"When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."