All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 6

EASY

9th CBSE

IMPORTANT

Earn 100

Find the remainder, when $p (x) = x^{3} - a x^{2} + x$ is divided by $(x - a)$ .

Important Questions on Polynomials

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 6

Find the remainder,when

f (x) = x^{3} - 6 x^{2} + 13 x + 60

is divided by

x + 2

.

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 6

Find the remainder when

x^{3} - a x^{2} + 6 x - a

is divided by

x - a

.

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 7

If $x^{100} + 2 x^{99} + k$ is divisible by $(x + 1)$ , then the value of $k$ is

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 8

Using remainder theorem, find the value of

k

, so that

(4 x^{2} + k x - 1)

leaves the remainder

2

, when divided by

(x - 3)

.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 9

The polynomials

x^{3} + 2 x^{2} - 5 a x - 8

and

x^{3} + a x^{2} - 12 x - 11

, when divided by

(x - 2)

and

(x - 3)

respectively, leave remainders

p

and

q

. If

q - p = 10

, find the value of

a

.

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 10

Find the value of

a

, so that the polynomial

x^{3} - a x^{2} + 13 x + 15

, when divided by

(x - 1)

, gives

2

as the remainder.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 11

By actual division, find quotient and remainder, when

3 x^{4} - 4 x^{3} - 3 x - 1

is divided by

x + 1

. Also, verify remainder (by remainder theorem).

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 2 - Polynomials>Exercise 2.3>Q 12

Find the quotient and remainder, when

6 x^{4} + 11 x^{3} + 13 x^{2} - 3 x + 27

is divided by

3 x + 4

. Also, check the remainder obtained by using remainder theorem.