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Remainder Theorem

When a polyno...

Question

When a polynomial of degree greater than 1, denoted by P(x), is divided by (x-a), the remainder is P(a)

A

True

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B

False

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Solution

The correct option is A True
The remainder theorem states that when a polynomial P(x) is divided by (x-a), the remainder is P(a).

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If p(x) is a polynomial of degree greater than 0. Then remainder of $\frac{p (x)}{(x - a)}$ is p(a)

Q. When a polynomial of degree greater than 1, denoted by P(x), is divided by (x-a), then the remainder is .

Q. When a polynomial of degree greater than 1, denoted by P(x), is divided by (x-a), then the remainder is .

p (x)

is a polynomial of degree greater than

2

p (x)

leaves remainder

a

- a

when divided by

x + a

x - a

respectively. If

p (x)

x^{2} - a^{2}

then remainder is

a \neq 0

p (x)

be a polynomial of degree greater than

2

. If p(x) leaves remainders

a

- a

when divided respectively, by

x + a

x - a

, the remainder when

p (x)

x^{2} - a^{2}

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