Dividing a Polynomial by a Monomial

Q.

What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$?

1. $\frac{xy}{x+y}$

2. $\frac{y-x}{y^2{x}^2}$

3. $\frac{y^2-x^2}{yx}$

4. $\frac{x^2-y^2}{x^2+y^2}$

Q.

Divide the given polynomial by the given Monomial :$(5x^2-6x)÷3x$.

Q.

$\text{Divide}{m}^2+7m-60\text{by}(m-5).$

1. 4(m - 6)

2. 2(m + 6)

3. (m + 12)

4. (m - 12)

Q. Question 2
$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

Q.

Which of the following point lies on lines 2x + 5y = -11 and 4x + 10y = -22?

1. (3, 2)

2. (-3, 2)

3. (6, 5)

4. (2, -3)

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

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

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

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

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

Q. State true or false:

1. True
2. False

Q.

Dividing $2x^2+13x+15$ by $x+5$ and then substituting $x=2$ in the resulting expression gives

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Q. What do we get if 15xy - 27y is divided by -3y?

1. 5x - 9y
2. - 5x - 9
3. 5x + 9y
4. - 5x + 9

Q.

Dividing $2x^2+13x+15$ by $x+5$ and then substituting $x=2$ in the resulting expression gives

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Q.

State whether true or false:
$\frac{(3x^2+1)}{\left(3x^2\right)}=1+1=2$

1. False

2. True

Q.

The degree of the quotient when $6x^3+3x$ is divided by $3x$ is ___

Q.

Divide the given polynomial by the given monomial:
$(x^3+2x^2+3x)÷2x$

1. 1/2(x²+2x+3)

2. 1/2

3. (x²+2x+3)

4. 1

Q.

What do we get when 8abc is divided by 4ab?

1. 2b

2. 2c

3. 2abc

4. 2bc

Q. Divide: $-4x^3-6x^2+8x$ by $2x$

1. $x(-2x^2-3x-4)$
2. $(-2x^2-3x+4)$
3. $2x(2x^2-3x+4)$
4. $(-2x^2-3x+4)$

Q.

1. $\frac{4x-5}{4x}=\frac{4x}{4x}+\frac{5}{4x}=1+\frac{5}{4x}$
2. $\frac{x+5}{4x}=\frac{4x}{4x}+\frac{5}{4x}=1+\frac{3}{4x}$
3. $\frac{4x+5}{4x}=\frac{x}{4x}+\frac{5}{4x}=1+\frac{5}{x}$
4. $\frac{4x+5}{4x}=\frac{4x}{4x}+\frac{5}{4x}=1+\frac{5}{4x}$

Q.

Akash has $6xy+4x{y}^2$ chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2?

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Q. Divide:
$6x^4-24x^3+15x^2+9$ by $(-3x^2)$

1. $2x^3+8x-5+\frac{3}{x^2}$
2. $-2x^2+8x-5-\frac{3}{x^2}$
3. $-2x^2+8x-5-\frac{8}{x^2}$
4. $2x^3+8x-5-\frac{8}{x^2}$

Q.

Find the value of $\frac{x(y+2)}{x}$ if y = 2.

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Q.

On dividing $2m{p}^{2}q-mqp+4np{q}^2$ by $pq$, what do we get?

1. $2m-p+4n$

2. $2np-m+4mq$

3. $2mq-m+4np$

4. $2mp-m+4nq$

Q.

$\text{Divide}(a^2+7a+10)\text{by}(a+5).$

1. 2
2. $(a+2)$
3. $(a+1)$
4. 1

Q. Evaluate $(5x^2-6x)÷3x$

1. $\frac{5x-6}{9}$
2. $\frac{5x-6}{3}$
3. $\frac{x-6}{2}$
4. $\frac{x+6}{7}$

Q. $(14x^{2}yz-28x^2{y}^2{z}^3+32y^2{z}^2)÷(-4xy)$

1. $-\frac{7}{2}xz+7xy{z}^3-\frac{8y{z}^2}{x}$
2. $\frac{7}{2}yz+7xy{z}^2+8xyz$
3. $-\frac{7}{2}xz-7xy{z}^3+\frac{8y{z}^2}{x}$
4. $\frac{7}{2}xz-7xy{z}^2-\frac{8y{z}^2}{x}$

Q. Divide $(8x^2{y}^2-6x{y}^2+10x^2{y}^3)$ by $2xy$.

1. $4xy+3y-5x{y}^2$
2. $4xy-3y+5x{y}^2$
3. $8xy+3y-5x{y}^2$
4. $4xy-3y-5x{y}^2$

Q.

$4x^2$ is a factor of $4x$($x+3$)

1. True

2. False

Q. Divide:

1. $2z^3+z-\frac{3}{z}$
2. $2z^3-z-\frac{3}{z}$
3. $z^3-z-\frac{2}{z}$
4. $z^3-z-\frac{3}{z}$