Long Division

Q.

The remainder obtained when $6y^5+30y^4+18y^3+6y^2+15y+3$ is divided by $2y^3+1$ is $3y^2-6$.

1. True

2. False

Q.

$2x^2+7x-1$ completely divides $10x^4+17x^3-62x^2+30x-3$ .

1. True

2. False

Q.

If $4mn+16m^{2}n$ balloons are to be distributed among $4mn$ children, how many balloons does each child get, if $m=2$?

1. 9

2. 10

3. 7

4. 8

Q.

The product of two numbers is $x^2+x-2$. If one of the numbers is $x-1$, Then the other number is

1. $x-2$

2. $x+2$

3. $x+1$

4. $x-1$

Q.

Divide $2x^{3}y-6x^2{y}^3+6x^2{y}^2$ by $2x^{2}y$

1. $x-2y^2+3y$

2. $x-3y^2+2y$

3. $x-3y^2+3y$

4. $x-3y^2-3y$

Q.

The product of two numbers is $x^2+3x-54$. If one number is $x-6$, then the other number is ____.

1. $x+9$

2. $x-9$

3. $x+6$

4. $x-3$

Q.

The quotient obtained when we divide $a^6-b^6$ by the product of $a^2+ab+b^2$ and $a-b$.

1. $a^3-b^3$

2. $a^3+b^3$

3. $a-b$

4. $a+b$

Q.

The quotient obtained when $y^6-8$ is divided by $y^2-2$ is

1. $y^4+2y^2+4$

2. $y^4+2y^2$

3. $y^4-2y^2+4$

4. $y^4-2y^2$

Q.

Write the quotient and remainder when we divide.

$x^3-6x^2+11x-6$ by $x^2-5x+6$

Q.

Write the quotient and remainder when we divide.

$(14x^2-53x+45)$ by $(7x-9)$