Long Division

Q.

Write the quotient and remainder when we divide:
$(x^3+1)$ by $x+1$

Q.

Write the quotient and remainder when we divide:
$(x^2-4x+4)$ by $(x-2)$

Q.

Write the quotient and remainder when we divide.

$(2x^3+x^2-5x-2)$ by $(2x+3)$

Q. Divide and write the quotient and the remainder
$(2y^3+4y^2+3)÷2y^2$

Q. Divide and write the quotient and the remainder
$(8p^3-4p^2)÷2p^2$

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.

$(5x^3-12x^2+12x+13)$ by $(x^2-3x+4)$

Q. Use long division to divide $3x^4-5x^2+3$ by x+2.

Q.

Write the quotient and remainder when we divide.

$(8x^4+10x^3-5x^2-4x+1)$ by $(2x^2+x-1)$

Q.

Write the quotient and remainder when we divide.

$(2x^3-5x^2+8x-5)$ by $(2x^2-3x+5)$

Q.

Write the quotient and remainder when we divide.

$(x^2-4)$ by $(x+2)$

Q.

Write the quotient and remainder when we divide.

$(6x^2-31x+47)by(2x-5)$

Q.

Tick $\left(✓\right)$ the correct answer in each of the following:
$(2x^2+3x+1)÷(x+1)=?$

(a) $(x+1)$
(b) $(2x+1)$
(c) $(x+3)$
(d) $(2x+3)$

Q.

Write the quotient and remainder when we divide.

$(x^2+12x+35)$ by $(x+7)$

Q.

Write the quotient and remainder when we divide.

$(15x^2+x-6)$ by $(3x+2)$

Q.

If $(a+b{)}^2=64$ and $ab=12$. What is the value of $(a-b{)}^2$?

1. 48

2. 16

3. 112

4. 64

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.

$x^4-2x^2+2x^2+x+4$ by $x^2+x+1$

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.

If the value of $\left(\frac{a^3-b^3}{a^3+b^3}\right)$, when $a=7$ and $b=2$ is $\frac{335}{p}$, then $p$ is $321$.

1. True

2. False

Q. $\frac{x^3-2x^2+3x}{x}=$

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

Q.

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

1. True

2. False

Q. $(\frac{30\times 25}{60\times 5}{)}^2$ = ?

1. $\frac{15}{4}$
2. $\frac{25}{3}$
3. $\frac{12}{4}$
4. $\frac{25}{4}$

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. Simplify: (b + 3)(b + 3)

1. $b^2+6b+9$
2. $b^2+6b+6$
3. $b^2+9b+6$
4. $9b^2+6b+9$

Q.

Find the value of the given expression
$(x^3+2x^2+3x)÷2x$

1. $\frac{(x^2+2x+3)}{2}$

2. $\frac{1}{2}$

3. ($x^2+2x+3)$​

4. 1

Q.

Tick $\left(✓\right)$ the correct answer in each of the following:
$(x^2-4x+4)÷(x-2)=?$

(a) $(x-2)$
(b) $(x+2)$
(c) $(2-x)$
(d) $(2+x+x^2)$

Q.

Write the quotient and remainder when we divide.

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

Q. Find the remainder when $30y^4+11y^3-42y^2+3$ is divided by $3y^2+2y$?

1. 0
2. 2y+3
3. -24y + 3
4. y-2

Q. Divide as directed
$52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)$