Chapter 14 – Factorisation – Ankit Enterprises

Factorise: 4y2 −12y + 9

(a) (7y− 5)2
(b) (5y− 3)2
(c) (2y− 5)2
(d) (2y− 3)2

Factorise 6xy – 4y + 6 – 9x.

(a) (3x – 2) (2y – 3)
(b) (3x – 2)
(c) (2y – 3)
(d) (2x – 3) (3y – 2)

Which of the following is quotient obtained on dividing –18 xyz2 by –3 xz?

(a) 6 yz
(b) –6 yz
(c) 6 xy2
(d) 6 xy

Factorize x2 + 8x + 12

(a) (x + 2)(x + 6)
(b) (x + 3)(x + 4)
(c) 3x + 12
(d) 3x – 12

Factorise: x2+xy+ 8x+ 8y

(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x – y)

Find and correct the errors in the following mathematical statements. x (3x + 2) = 3×2 + 2

(a) x (3x + 2) = 3×2 + 2x
(b) x (3x + 2) = 3×2
(c) x(3x + 2) = 5×2+ 2x
(d) none of these

Find the common factors of 2y, 22xy.

(a) 2y
(b) 2
(c) 22
(d) y

Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)

(a) 5 (3x + 5)
(b) (3x + 5)
(c) 5
(d) none of these

The common factor of a2m4 and a4m2 is

(a) a4m4
(b) a2m2
(c) a2m4
(d) a4m2

Amrit and Pankaj expanded (x−5)2. Amrit’s answer is x2−25 and Pankaj’s answer is x2−10x+25. Which of the following statements is correct?

(a) Amrit’s answer is correct.
(b) Pankaj’s answer is wrong.
(c) Both got correct answer.
(d) Pankaj’s answer is correct.

When we factorise an expression, we write it as a ________ of factors.

(a) product
(b) difference
(c) sum
(d) none of these

Divide the given polynomial by the given monomial: (5×2− 6x) ÷ 3x

(a) (5x – 6)
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 1 }{ 3 }\)(5x – 6)
(d) none of these

How many factors does (x9−x) have?

(a) 5
(b) 4
(c) 2
(d) 9

What are the factors of x2+xy−2xz−2yz?

(a) (x−y) and (x+2z)
(b) (x+y) and (x−2z)
(c) (x−y)and (x−2z)
(d) (x+y) and (x+2z)

Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)

(a) r(p+q)
(b) \(\frac { 1 }{ 2 }\) r(p+q)
(c) \(\frac { 1 }{ 2 }\)
(d) none of these

Choose the factors of 15×2−26x+8 from the following.

(a) (3x−4),(5x+2)
(b) (3x−4),(5x−2)
(c) (3x+4),(5x−2)
(d) (3x+4),(5x+2)

Solve: –20(x)4 ÷ 10(x)2

(a) \(\frac { 1 }{ 2 }\)x
(b) x
(c) \(\frac { 1 }{ 2 }\)
(d) -2×2

Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)

(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these

Question 19.The common factor of x²y² and x³y³ is

(a) x²y²
(b) x³y³
(c) x²y³
(d) x³y².

Question 20.The common factor of a2 m4 and a4m2 is

(a) a4m4
(b) a2m4
(c) a4m2
(d) none of these.

Question 21.The common factor of p3q4 and p4q3 is

(a) p4q4
(b) p4q3
(c) p3q3
(d) p3q4

Question 22.The common factor 12y and 30 is

(a) 6
(b) 12
(c) 30
(d) 6y.

Question 23.The common factor of 2x, 3×3, 4 is

(a) 1
(b) 2
(c) 3
(d) 4.

Question 24.The common factor of 10ab, 30bc, 50ca is

(a) 10
(b) 30
(c) 50
(d) abc.

Question 25.The common factor of 14a2b and 35a4b² is

(a) a4b²
(b) 35a4b²
(c) 14a²b
(d) 7a²b.

Question 26.The common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is

(a) a4b4
(b) a2b2
(c) 4a2b2
(d) 4a2b.

Question 27.The common factor of 6a3b4c2, 21a2b and 15a3 is

(a) 3a2
(b) 3a3
(c) 6a3
(d) 6a2

Question 28.The common factor of 2a2b4c2, 8a4b3c4 and 6a3b4c2 is

(a) 2a2b3c2
(b) 6a2b3c2
(c) 8a2b3c2
(d) a4b4c4.

Question 29.The common factor of 3a2b4c2, 12b2c4 and 15a3b4c4 is

(a) b4c4
(b) 3b2c2
(c) 15b2c4
(d) 12b2c4

Question 30.The common factor of x3y2 and x4y is

(a) x43y2
(b) x4y
(c) x3y2
(d) x3y.

Chapter 14 – Factorisation

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