Factorisation Test

Result

Factorisation Test - 14

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Factorise: $$\displaystyle { x }^{ 3 }+4{ x }^{ 2 }+5x$$

A
$$\displaystyle x\left( { x }^{ 2 }+4x+5 \right) $$

B
$$\displaystyle x\left( { x }^{ 2 }+4x+5x \right) $$

C
$$\displaystyle { x }^{ 3 }+4x+5$$

D
$$\displaystyle { x }^{ 2 }+4x+5$$

Solution

$$\displaystyle { x }^{ 3 }+4{ x }^{ 2 }+5x=x\left( { x }^{ 2 }+4x+5 \right) $$
Question 2
1 / -0

The process of finding the factors of given number (or expression) is called ...........

A
multiplication

B
factorisation

C
division

D
addition

Solution

The process of finding the factors of given number (or expression) is called Factorization.
Question 3
1 / -0

Factorise : $$\displaystyle 5xy+25xyz$$

A
$$\displaystyle 5xy(1+5xyz)$$

B
$$\displaystyle 5xy(1+z)$$

C
$$\displaystyle 5xy(1+5z)$$

D
$$\displaystyle 5xyz$$

Solution

$$\displaystyle 5xy+25xyz=\left( 5\times x\times y \right) +\left( 5\times 5\times x\times y\times z \right) $$
$$=5xy(1+5z)$$
Question 4
1 / -0

Factorise : $$\displaystyle 13a+26$$

A
$$\displaystyle a+13$$

B
$$\displaystyle a+2$$

C
$$\displaystyle 13(a+26)$$

D
$$\displaystyle 13(a+2)$$

Solution

$$\displaystyle 13a+26=\left( 13\times a \right) +\left( 13\times 2 \right) $$
$$ =13\left( a+2 \right) $$
Question 5
1 / -0

Factorise : $$\displaystyle 8x-64$$

A
$$\displaystyle 8(x-9)$$

B
$$\displaystyle 8x-8$$

C
$$\displaystyle 8(x-6)$$

D
$$\displaystyle 8(x-8)$$

Solution

$$\displaystyle 8x-64=\left( 8\times x \right) -\left( 8\times 8 \right) $$
$$ =8\left( x-8 \right) $$
Question 6
1 / -0

Factorization means , writing an expression as a product of its......

A
factors

B
multiples

C
HCF

D
LCM

Solution

Factorization means writing an expression as a product of its factors.
Question 7
1 / -0

________ is a method of writing numbers as the product of their factors or divisors.

A
Polynomial

B
Factorisation

C
Division algorithm

D
Quadratic equation

Solution

Factorisation is a method of writing numbers as the product of their factors or divisors.
Example: $$4x^2+2x$$ is a factor $$2x(2x+1)$$
By multiplying the factor we get the original number.
Question 8
1 / -0

Factorize $$x^4-x^3-x^2$$

A
$$x(x^2-x-1)$$

B
$$x(x-x^2-x^3)$$

C
$$x(x^3-x^2)$$

D
$$x^2(x^2-x-1)$$

Solution

Given, $$ x^4-x^3-x^2$$
Here all the terms are unlike.
Only $$x^2 $$ is common from all, so
$$\Rightarrow x^2(x^2-x-1)$$
Question 9
1 / -0

Which of the following expression is correct?

A
$$\displaystyle 5\left( x-6 \right) =5x-6$$

B
$$\displaystyle 4x+7x=11{ x }^{ 2 }$$

C
$$\displaystyle x+4x+5x=8x$$

D
$$\displaystyle x+4{ x }^{ 2 }=x\left( 1+4x \right) $$

Solution

$$\displaystyle x+4{ x }^{ 2 }=\left( x \right) +\left( 4\times x\times x \right) $$
$$\displaystyle =x\left( 1+4\times x \right) $$
$$\displaystyle =x\left( 1+4x \right) $$

$$\therefore$$ The statement $$x+4x^2=x(1+4x)$$ is correct.
Question 10
1 / -0

Which of the following statements is true ?

A
$$\displaystyle 6x+3x=9{ x }^{ 2 }$$

B
$$\displaystyle 4(x+5)=4x+5$$

C
$$\displaystyle 4(x+5)=4x+20$$

D
$$\displaystyle x\left( 4x+5 \right) =4{ x }^{ 2 }+5$$

Solution

$$\displaystyle 4\left( x+5 \right) =4 \times x+ 4\times 5 $$
$$= 4x+20$$

$$\displaystyle \therefore 4\left( x+5 \right) =4x+20$$ is a correct statement.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Factorisation Test - 14

Result

Factorisation Test - 14

Score

-

Rank

-

SHARING IS CARING

Question 1

$$\displaystyle x\left( { x }^{ 2 }+4x+5 \right) $$

$$\displaystyle x\left( { x }^{ 2 }+4x+5x \right) $$

$$\displaystyle { x }^{ 3 }+4x+5$$

$$\displaystyle { x }^{ 2 }+4x+5$$

Solution

Question 2

multiplication

factorisation

division

addition

Solution

Question 3

$$\displaystyle 5xy(1+5xyz)$$

$$\displaystyle 5xy(1+z)$$

$$\displaystyle 5xy(1+5z)$$

$$\displaystyle 5xyz$$

Solution

Question 4

$$\displaystyle a+13$$

$$\displaystyle a+2$$

$$\displaystyle 13(a+26)$$

$$\displaystyle 13(a+2)$$

Solution

Question 5

$$\displaystyle 8(x-9)$$

$$\displaystyle 8x-8$$

$$\displaystyle 8(x-6)$$

$$\displaystyle 8(x-8)$$

Solution

Question 6

factors

multiples

HCF

LCM

Solution

Question 7

Polynomial

Factorisation

Division algorithm

Quadratic equation

Solution

Question 8

$$x(x^2-x-1)$$

$$x(x-x^2-x^3)$$

$$x(x^3-x^2)$$

$$x^2(x^2-x-1)$$

Solution

Question 9

$$\displaystyle 5\left( x-6 \right) =5x-6$$

$$\displaystyle 4x+7x=11{ x }^{ 2 }$$

$$\displaystyle x+4x+5x=8x$$

$$\displaystyle x+4{ x }^{ 2 }=x\left( 1+4x \right) $$

Solution

Question 10

$$\displaystyle 6x+3x=9{ x }^{ 2 }$$

$$\displaystyle 4(x+5)=4x+5$$

$$\displaystyle 4(x+5)=4x+20$$

$$\displaystyle x\left( 4x+5 \right) =4{ x }^{ 2 }+5$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.