# Factorization and its Methods

This is an MCQ-based quiz on Factorization. Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

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

Product Difference Sum None of these

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

2y (x + 5) (x + 5) 2y None of these

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

5 (3x + 5)

(3x + 5)

5

None of these

On factorising 14pq + 35pqr, we get:

pq(14 + 35r) p(14q + 35qr) q(14p + 35pr) 7pq(2 + 5r)

The factors of 6xy – 4y + 6 – 9x are:

(3x + 2) (2y + 3) (3x – 2) (2y – 3) (3x – 2) (2y + 3) (3x + 2) (2y – 3)

The factors of 49p^2 – 36 are:

(7p + 6)2 (7p – 6)2 (7p – 6 ) ( 7p + 6) None of the above

When we factorise x^2 + 5x + 6, then we get:

(x + 2) (x + 3) (x – 2) (x – 3) (x × 2) + (x × 3) (x × 2) – (x × 3)

If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is

0 1 -1 2

The common factor of x²y² and x³y³ is

x²y² x³y³ x²y³ x³y².

The common factor 12y and 30 is

6 12 30 6y.

The common factor of 2x, 3x^3, 4 is

1 2 3 4.

The factorisation of 12a^2b + 15ab^2 is

3ab (4a + 5b) 3a^2b (4a + 5b) 3ab^2 (4a + 5b) 3a^2b^2 (4a + 5b).

The factorisation of 6x – 42 is

6(x – 7) 3(x – 7) 2(x – 7) 6(x + 7)

The factors of xyz are:

x y z All of the above

The factorisation of 8x + 4y is:

8(x+4y) 4(2x+4y) 8(x+y) 4(2x+y)

The common factor of 24a^3b^4, 36a^4c^4 and 48a^3b^2c is:

12a^3 24a^3 36a^3 48a^3

The factors of 3m^2 + 9m + 6 are:

(m + 1) (m + 2) 3(m + 1) (m + 2) 6(m + 1) (m + 2) 9(m + 1) (m + 2)

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

(3x−4),(5x+2)

(3x−4),(5x−2)

(3x+4),(5x−2)

(3x+4),(5x+2)

Quiz/Test Summary
Title: Factorization and its Methods
Questions: 18
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