x 3 27 + x 2 y 15 + xy 2 25 + y 3 125

x 3 27 + x 2 y 25 + xy 2 25 + y 3 125

x 3 25 + x 2 y 15 + xy 2 25 + y 3 125

x 3 27 + xy 15 + xy 2 25 + y 3 125

The value of 27 a 3 - 2 2 b 3 is equal to:

3 a - 2 b 9 a 2 + 2 b 2 + 3 2 ab

3 a - 2 b 9 a 2 + 2 b 2 + 6 2 ab

3 a - 2 b 9 a 2 - 2 b 2 - 3 2 ab

3 a - 2 b 9 a 2 - 2 b 2 + 6 2 ab

EASY

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If the discriminant of a quadratic polynomial, $D > 0$ , then the polynomial has

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Important Questions on Polynomials

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

2 x^{2} + y^{2} + 8 z^{2} - 2 \sqrt{2} xy + 4 \sqrt{2} yz - 8 zx = {(Ax + y + Bz)}^{2}

, then the value of

(A^{2} + B^{2} - AB)

is:

HARD

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

x + y + z = 3

, and

x^{2} + y^{2} + z^{2} = 101

, then what is the value of

\sqrt{x^{3} + y^{3} + z^{3} - 3 x y z}

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

Expand

{(\frac{x}{3} + \frac{y}{5})}^{3}

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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>Zeros of a Polynomial

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>Zeros of a Polynomial

(x^{3} - y^{3}) : (x^{2} + x y + y^{2}) = 5 : 1

and

(x^{2} - y^{2}) : (x - y) = 7 : 1

, then the ratio

2 x : 3 y

equals

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

1 - 64 x^{3} - 12 x + {px}^{2} = {(1 - 4 x)}^{3}

, then the value of

p

is:

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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 _____.

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

The number of polynomials

p (x)

with integer coefficients such that curve

y = p (x)

passes through (

2, 2

) and (

4, 5

) is

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

The value of

27 a^{3} - 2 \sqrt{2} b^{3}

is equal to:

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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>Zeros of a Polynomial

Find the remainder in the expression

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

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

1433 \times 1433 \times 1422 \times 1425

is divided by

12

, then what is the remainder?

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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:

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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>Zeros of a Polynomial

A number when divided by

6

leaves remainder

3

. When the square of the same number is divided by

6

, the remainder is

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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?

MEDIUM

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

30 x^{2} - 15 x + 1 = 0

, then what is the value of

25 x^{2} + {(36 x^{2})}^{- 1}

EASY

Mathematics>Algebra>Polynomials>Zeros of a Polynomial

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>Zeros of a Polynomial

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 _____.

If the discriminant of a quadratic polynomial, D > 0, then the polynomial has

Important Questions on Polynomials

Learn and Prepare for any exam you want !

If the discriminant of a quadratic polynomial, $D > 0$ , then the polynomial has