Division of a Monomial by a Monomial

Q.

Factorize: $27-125a^3-135a+225a^2$.

Q. Divide:
$5x{y}^2–18x^2{y}^3+6xyby6xy$

Q.

Factor the expression using the GCF.

$14p-28$

Q. Question 3(iv)
Work out the following divisions
$9x^2{y}^2(3z-24)÷27xy(z-8)$

Q. What is the remainder obtained when $10.5z$ is divided by 3.5?

1. 3
2. 3z
3. 3.5z
4. 3.5

Q. Divide $12x^{2}yz$ by $3xy$.

1. $4xyz$
2. $4x^{2}yz$
3. $4xz$
4. $4xy$

Q. Divide the following :
(i) 35x³yz² by -7xyz
(ii) -15x³yz³ by -5xyz²

Q. Divide $12x^{2}yz$ by $3xy$.

1. $4xy$
2. $4xyz$
3. $4xz$
4. $4x^{2}yz$

Q.

Divide 9x²y − 6xy + 12xy² by −$\frac{3}{2}$xy.
$\left[3Marks\right]$

Q. Carry out the following divisions
(i) $28x^4÷56x$
(ii) $-36y^3÷9y^2$
(iii) $66p{q}^2{r}^3÷11q{r}^2$
(iv) $34x^3{y}^3{z}^3÷51x{y}^2{z}^3$
(v) $12a^8{b}^8÷(-6a^6{b}^4)$

Q.

The degree of the polynomial $3z^2+z+1$ is 4.

1. True

2. False

Q. $xy,2x^{2}y,2x{y}^2$.

1. $4^4{y}^4$
2. $4y^4{y}^4$
3. $4x^4{y}^4$
4. $4x^4{y}^y$

Q. When 8a${}^3$b${}^3$c is divided by 4a${}^3$b${}^3$, the quotient obtained is:

1. always greater than 2
2. depends on the value of 'a'
3. depends on the value of 'b'
4. depends on the value of 'c'

Q. 3^2 n when divided by 8, the remainder is always 1, solve it by the method of PMI.

Q.

Question 94 (i)

Carry out the following division:

$51x^3{y}^{2}z÷17xyz$

Q.

Write the leading term, degree and constant term of the polynomial $3x{y}^2+4x^2{y}^2{z}^2-y^3{z}^2$

Q. $\text{(i) Divide}36x^{2}y{z}^{2}by4y^2{z}^3.$

$\text{(ii) Divide}63a^{2}bcby7b{c}^3.$

Q. If $P\left(x\right)=\frac{1+5x}{1-5x}\&Q\left(x\right)=\frac{1-5x}{1+5x},$ then $\frac{P\left(x\right)}{Q\left(x\right)}$ will be

1. 1
2. $\frac{(1+5x{)}^2}{(1-5x{)}^2}$
3. $\frac{1-25x^2}{1+25x^2}$
4. $\frac{1+25x^2}{1-25x^2}$

Q. Which of the following is the remainder when $z({5z}^2-80)$ is divided by $5z(z-4)$:

1. $z+4$
2. $z-4$
3. $5$
4. $0$

Q.

Evaluate: (3z + 4)(3z + 4)

1. 

2. 

3. 

4. 

Q. When simplified, $(x^{-1}+y^{-1}{)}^{-1}$ equals

1. x+y
2. $\frac{xy}{x+y}$
3. $\frac{1}{x+y}$
4. $\frac{x+y}{xy}$

Q.

Divide $9a^{2}by3$.

Q. Simplify:
$a{x}^{2}y-bxyz-a{x}^{2}z+bx{y}^2$

Q. Question 29

The value of $(-27x^{2}y)÷(-9xy)$ is
a) $3xy$
b) $-3xy$
c) $-3x$
d) $3x$