Factorisation Test

Result

Factorisation Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

What are the factors of u⁴ - 3u² - 238?

A
(u³ + 1) (u³ - 4)

B
(u - 14) (u + 14)

C
(u - 17) (u + 17)

D
(u² - 17) (u² + 14)

E
(u² + 17) (u² + 14)
Question 2
1 / -0

What are the factors of ?

A

B

C

D
Question 3
1 / -0

What is the value of x² + when x - = 4?

A
18

B
36

C
16

D
30

E
20
Question 4
1 / -0

If , what is the value of ?

A
– 495

B
– 81

C
63

D
495
Question 5
1 / -0

If, what is the value of ?

A
21

B
49

C
322

D
343

E
364
Question 6
1 / -0

Factorise: \(x^{2}-x y-x+y\)

A
\((x-y)(x-1)\)

B
\((x-y)(x+1)\)

C
\((x+y)(x-1)\)

D
\((x-y)(x-2)\)

Solution

Given:
\(x^{2}-x y-x+y\)
Taking \(x\) common in the \(\left(x^{2}-xy\right)\) and \(-1\) in \((-x+y)\),
So,
\(=x(x-y)-1(x-y)\)
Taking \((x-y)\) common in both the terms,
\(=(x-y)(x-1) \)
So,
\(x^{2}+y-x y-x=(x-y)(x-1)\)
Hence, the correct option is (A).
Question 7
1 / -0

Which of the following is one of the factors of 12 - (a + a²) (8 - a - a²)?

A
(a + 3)

B
(a + 1)

C
(a - 3)

D
(a + 4)
Question 8
1 / -0

Evaluate: x^-2 - y^-2, where x = 4 + and y = 12 - 3

A
7

B

C
7

D
8

E
8
Question 9
1 / -0

What is the factorization of form 27y³ - 54y²x + 36x²y - 7x³?

A
(3y - x) (9y² + 7x² - 15xy)

B

C

D
Question 10
1 / -0

What are the factors of
16(x - y)² - (x + 2y)²?

A
(3x + 6y) (5x - 2y)

B
(5x + 2y)²

C
(3x - 6y) (5x + 2y)

D
(5x - 2y) (3x - 6y)
Question 11
1 / -0

Which of the following is not a factor of the polynomial 2a⁷ – 128a?

A
(a² – 2a + 4)

B
(a + 2)

C
(a² + 2a – 4)

D
(a – 2)
Question 12
1 / -0

What are the factors of ?

A

B

C

D
Question 13
1 / -0

What are the factors of a²b² + 8ab - 9?

A
(ab - 9) (ab + 1)

B
(ab - 9) (ab - 1)

C
(ab + 9) (ab - 1)

D
(ab + 9) (ab + 1)
Question 14
1 / -0

Which of the following is not a factor of (a² + b² – c²)² – 4a²b²?

A
(a + b + c)

B
(a + b – c)

C
(2a + 2b – c)

D
(a – b + c)
Question 15
1 / -0

What are the factors of the polynomial ?

A

B

C

D