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

MEDIUM

Earn 100

Choose the zeroes of the quadratic polynomial x²+ 19 x + 90

50% studentsanswered this correctly

Important Questions on Polynomials

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The factors of

x (x + 2) (x + 3) (x + 5) - 72

are:

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

what is the value of

α (α \neq 0)

for which

x^{2} - 5 x + α

and

x^{2} - 7 x + 2 α

have a common factor?

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

(x + 2)

is a common factor of

x^{2} + a x + b

and

x^{2} + b x + a

, then the ratio

a : b

is equal to

HARD

Mathematics>Algebra>Polynomials>Polynomials in One Variable

Number of integers

k

for which the equation

x^{3} - 27 x + k = 0

has at least two distinct integer roots is

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

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>Polynomials in One Variable

1 - x - x^{n} + x^{n + 1}

, where

n

is a natural number, is divisible by______.

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The product of the polynomials

(x + 2), (x - 2), (x^{3} - 2 x^{2} + 4 x - 8)

and

(x^{3} + 2 x^{2} + 4 x + 8)

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

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>Polynomials in One Variable

If the

5

-digit number

538 x y

is divisible by

3, 7

and

11

, then the value of

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

is _____.

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

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 _____.

HARD

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The remainder when the polynomial

1 + x^{2} + x^{4} + x^{6} + . . . . . + x^{22}

is divided by

1 + x + x^{2} + x^{3} + . . . . . + x^{11}

EASY

Mathematics>Algebra>Polynomials>Polynomials in One Variable

If one of the zeroes of the quadratic polynomial $x^{2} + 3 x + k$ is $2$ , then find the value of $k$ is

HARD

Mathematics>Algebra>Polynomials>Polynomials in One Variable

Let

t

be real number such that

t^{2} = a t + b

for some positive integers

a

and

b

. Then for any choice of positive integers

a

and

b

t^{3}

is never equal to

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

HCF and LCM of two polynomials are

(x + 3)

and

(x^{3} - 9 x^{2} - x + 105)

. If one of the two polynomials is

(x^{2} - 4 x - 21)

, then the other is

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

Consider the following two statements
$I$ . Any pair of consistent liner equations in two variables must have a unique solution.
$II$ . There do not exist two consecutive integers, the sum of whose squares is $365$ .

Then

EASY

Mathematics>Algebra>Polynomials>Polynomials in One Variable

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

, then the value of

p

is:

MEDIUM

Mathematics>Algebra>Polynomials>Polynomials in One Variable

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

, then what is the value of

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

EASY

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The quadratic polynomial the sum of whose zeros is

- 5

and their product is

6

, is

EASY

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The coefficient of

y

in the expansion

{(2 y - 5)}^{3}

, is:

EASY

Mathematics>Algebra>Polynomials>Polynomials in One Variable

The value of

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

is equal to:

Choose the zeroes of the quadratic polynomial x2 + 19 x + 90

Important Questions on Polynomials

Learn and Prepare for any exam you want !

Choose the zeroes of the quadratic polynomial x²+ 19 x + 90