Factorisation by Regrouping Terms

Q.

Which of the following is a factor of 5xy?

1. $5x^2$

2. 2y

3. xy

4. 4

Q. $5x+10y$ is the expanded form of $5(x+2y)$.

1. True

2. False

Q.

Which one among the given options is an irreducible factor of 5xy(x + 6)?

1. 5xy

2. (x + 6)

3. 5xy(x + 6)

4. 5x

Q.

Which of the following is/are the factor(s)
$\text{of}4x^3+12x^2+5x+15?$

1. $(2x^2+5)$

2. $(4x^2+5)$

3. $(x+3)$

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

Q. The factorised form of $21x^2{y}^3+27x^3{y}^3$ is __________.

1. $3x^2{y}^3(7+9x)$
2. $7xy+9x^{2}y$
3. $7\times 3\times 4(x+y)$
4. $3x^2{y}^2(7y+9x)$

Q.

The highest common factor of ​$3x^{3}y,5x{y}^2,15xy$ is ____.

1. 

2. 

3. 

4. 

Q.

Which among the following is not a factor of $4y(y+3)$?

1. 4

2. + 3

3. None of these

4. 4( + 3)

Q.

Which of the following is an irreducible expression?

1. xy

2. 4p + 3

3. 6y

4. 2

Q.

Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are:

1. x, y, a

2. 5, x, y, 4, a

3. x

4. y, a

Q.

$\text{Which of the following are the factors of}12ab+9a+12+16b?$

1. $(3a-4)\text{and}(4b-3)$

2. $(3a-4)\text{and}(4b+3)$

3. $(3a+4)\text{and}(4b+3)$
4. $(3a+4)(4b-3)$