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A polynomial $p (x)$ when divided by $x^{2} - 3 x + 2$ leaves remainder $2 x - 3$ , then

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Important Questions on Polynomials

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Mathematics>Algebra>Polynomials>Remainder Theorem

When a number is successively divided by

3, 4

and

7

, the remainder obtained are

2, 3

and

5

respectively. What will be the remainder when

84

divided the same number?

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

1433 \times 1433 \times 1422 \times 1425

is divided by

12

, then what is the remainder?

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

Let

x

be the least number divisible by

13

, such that when

x

is divided by

4, 5, 6, 7, 8

and

12

, the remainder in each case is

2

. The sum of the digits of

x

is _____.

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

If the polynomial $p (x) = x^{2} - x + 1$ is divided by $(x - 2)$ then the remainder is

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

Two positive numbers differ by

2001

. When the larger number is divided by the smaller number, the quotient is

9

and the remainder is

41

. The sum of the digits of the larger number is:

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

When $p (x) = 40 x^{2} + 11 x - 63$ is divided by $x + 2$ then _____ is obtained as remainder.

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

If the

5

-digit number

538 x y

is divisible by

3, 7

and

11

, then the value of

(x^{2} + y^{2})

is _____.

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

A polynomial of degree

2

is divided respectively by

x - 1, x - 2 and x - 3

. The remainders obtained are

1, 2 and 3

respectively. The polynomial is

HARD

Mathematics>Algebra>Polynomials>Remainder Theorem

When a number is successively divided by

3, 4

and

7

, the remainder obtained is

2, 3

and

5

, respectively. What will be the remainder when

42

divides the same number?

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

Which is the largest six-digit number, which when divided by

12, 15, 20, 24

and

30

, leaves the remainders

8, 11, 16, 20

and

26

respectively.

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

If $a x^{3} + b x + c$ is divisible by $x^{2} + d x + 1$ , then

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

Find the remainder in the expression

\frac{557 \times 653 \times 672}{9}

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

If polynomials

3 x^{3} + x^{2} - 4 x + P and 2 x^{3} + P x^{2} + 3 x - 3

are divided by

(x - 2)

then get the same remainder. What will be the value of

P

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

The ratio of the divisor to the remainder is

3 : 2

and the ratio of the divisor to quotient is

7 : 12

. If the remainder is

14

, then the remainder when the dividend is divided by

9

is:

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

f (x) = x^{4} + a x^{3} + b x^{2} + c x + d

is a polynomial such that,

f (1) = 5, f (2) = 10, f (3) = 15

and

f (4) = 20

,find the value of

\frac{f (12) + f (- 8)}{100}

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

Find the remainder when

x^{4} - x^{3} + 2 x^{2} - x - 1

is divided by

x + 1

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

If the sum of the remainders obtained by dividing each of

x^{3} + 8 x^{2} - 3 k x + 7

and

2 x^{3} + k x^{2} - 5 x + 6

x - 1

9

then

k =

_____

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

When

3738, 5659

and

9501

are divided by the greatest possible number

x

, the remainder in each case is

y

. what is the sum of

x

and

y

EASY

Mathematics>Algebra>Polynomials>Remainder Theorem

In a division sum, the divisor is

10

times the quotient and

5

times the remainder. If the remainder is

46

, the dividend is:

MEDIUM

Mathematics>Algebra>Polynomials>Remainder Theorem

A student was asked to divide a number by

6

and add

12

to the quotient. He, however, first added

12

to the number and then divided it by

6

, getting

112

as the answer. The correct answer should have been _____.

A polynomial px when divided by x2-3x+2 leaves remainder 2x-3, then

Important Questions on Polynomials

Learn and Prepare for any exam you want !

A polynomial $p (x)$ when divided by $x^{2} - 3 x + 2$ leaves remainder $2 x - 3$ , then