Factors of a Term

Q. Which of the following is the common factor/factors of $21x^{2}y$ and $21x{y}^2$ ?

1. $21$
2. $21xy$
3. $xy$
4. All of the above.

Q. The common factor of 3ab and 2bd is:

1. b
2. a
3. d
4. 2

Q. What are the factors of the term 5xy ?

1. Only 5 and y
2. 5, x and y
3. Only x and y
4. Only 5

Q.

Find the common factors of $2t$, $3t^2$ and $4$.

1. 3

2. 2

3. 4

4. 1

Q.

Question 35

Fill in the blank to make the statement true
$432=2^4\times \text{\_\_}$

Q.

The common factor of 3ab and 2cd is:

1. 1

2. a

3. -1

4. c

Q.

Identify the terms and their factors in the following expression. Show the terms and factors by tree diagram:

(a) $x-3$

(b) $1+x+x^2$

(c) $y-y^3$

(d) $5x{y}^2+7x^{2}y$

(e) $-ab+2b^2-3a^2$
[5 marks]

Q.

Factor out the coefficient of the variable term.

$-5p+20$

Q.

The common factor(s) of $x^2$+4x+4 and $x^2$-4 is/ are

1. x-2

2. Both 1 and 2

3. 2

4. x+2

Q. What are the factors of $3x^{2}y$?

1. 3, x, x${}^2$ and y
2. Only 3, x, and y
3. Only 3
4. Only x and y

Q.

Factors of $18y^2+24xy+36y$ are:

1. $6$ and $(3y+4y+6)$

2. $y$ and $(3y+4y+6)$

3. $6y$ and $(3+4y+6y)$

4. $6y$ and $(3y+4x+6)$

Q.

Identify the term and factors in the following expression

1.9 q³r² - 3.9q²r² + 5.7r³

Q.

Write all terms and their factors of the following algebraic expressions $x^3+y^3+3xyz$

Q.

What are the factors of the terms of the given expression: $\frac{6x}{y}-(x+1)\left(y\right)$?

1. $6,x,\frac{1}{y}and(x+1),y$ for first and second part respectively

2. $6,\frac{x}{y}and-(x+1)$ for first and second part respectively

3. $6,x,\frac{1}{y}and-1,(x+1),y$ for first and second part respectively

4. $6,x,\frac{1}{y}andx,1,y$ for first and second part respectively

Q.

The common factor in the expression $4a+6a^2$ is ___.

Q. The numbers $4$ and $9$ have frequencies $x$ and $(x-1)$ respectively If their arithmetic mean is $6$ then $x$ is equal to

1. $3$
2. $4$
3. $5$
4. $2$

Q.

Amita has 12 marbles and Reeta has 8 marbles. Reeta says that she has x/y times the marbles that Amita has, where x and y are co-prime numbers.

Then x + y =

___

Q. Find the common factors of the following monomials by inspection only.

(1) 6m²n², 10m²n
(2) 38a³b², 57ab²
(3) 11x²y³, xy²
(4) 35p²q²r, 40p³q², 50pq²r
(5) 15x³y³, 39x²z², 48xy²z³

Q.

Which of the following is not a factor of $5x^{2}y$?

1. $5x^2$y

2. $xy$

3. $3x^2$

4. $x^2$

Q.

The factors of 12ab + 9a + 12 + 16b are

1. (4b+3)(3a+4)

2. (4a+3)(3b+4)

3. (2b+3)(3a+6)

4. (4b-3)(3a-4)

Q. What are the factors of the term 5xy ?

1. Only 5 and y
2. 5, x and y
3. Only 5
4. Only x and y

Q.

Write all terms and their factors of the following algebraic expressions $a^2+b^2+3ab+7$

Q.

Which of the following are the factors of $ax+by+bx+az+ay+bz$ ?

1. $(x+y+z)(a+b)$

2. $(bc+axy)(a+by)$

3. $(bxc+ay)(ax+by)$

4. $(a+b)(2x+2y+2z)$

Q.

What are the factors of the terms of the given expression: $\frac{6x}{y}-(x+1)\left(y\right)$?

1. 6, x/y and -(x + 1), y

2. 6, x, 1/y and (x + 1), y

3. 6, x, 1/y and -1, (x + 1), y

4. 6, x, 1/y and x, 1, y

Q.

The factors of $22x^2+77x$ are $11x$ and $(2+7x)$.

1. True

2. False

Q.

The product of the common factors of 16$x^3$, -4$x^2$, $32x$ is

1. 2x

2. x

3. 4x

4. 4x²

Q.

The expression (a + c + e + g)(b + d + f + h) consists of ____ factors and each factor contains _____ terms.

1. 4, 4

2. 2, 4

3. 4, 2

4. 2, 2

Q.

The expression (a + c + e + g)(b + d + f + h) consists of ____ factors and each factor contains _____ terms.

1. 2, 4

2. 4, 2

3. 4, 4

4. 2, 2

Q.

Identify terms and factors in the expressions given below:

$1.2ab-2.4b+3.6a$

Q. Write the following monomials as product and find their common factors.

(1) 4p²q, 16pq²
(2) 18x³y², 12x³y
(3) 7a³b²c, 28a²bc²
(4) 8x³y², 10x²y³, 6x²y
(5) 24mnp², 22m²p², 30m²n²p