MULTIPLE CHOICE QUESTIONS (FACTORIZATION)

Day - 1

1) The factorization of - x²+ 5x - 6 yields 

a) -(x -2)(3-x) b) -(2 - x)(3-x) c) (x -2)(x -3) d) (2+ x)(3-x) 

2) The value of (348)² - (347)² is 

a) (1)² b) 685 c) 695 d) 705

3) If the area of a rectangle of 4x²+ 4x - 3, then its possible dimensions are 

a) 2x -3, 2x+1 b) 2x -1, 2x+3 c) 3x +1,  2x -3 d) 3x - 1, 2x+3

4) The factors of 12y² - y - 6 are

a) (12y -1)(y +6) b) (12y +1)(y -6) c) (3y -2)(4y +3) d) (3y +2)(4y -3) 

5) The factor of 1/2 - x²/50 is

a) (1/2)(1- x/5)(1- x/5) b) (1/2)(1/5 + x)(1/5 - x) c) (1/2)(1+ x/5)(1- x/5) d) (1/2)(1+ x/5)(1+ x/5)

6) The factor of a³ + 27 are

a) (a+3)(a²+ 3a+ 9) b) (a+3)(a²- 3a+ 9) c) (a-3)(a²- 3a+ 9) d) (a-3)(a²+ 3a+ 9) 

7) √{2a² + 2√6 ab + 3b²} in its simplified form is equals to 

a) (√2a - √3b b) (√2a + √3b) c) (√3a + √2b) d) (√3a - √2b)

8) (2x + 1/3)² -(x - 1/2)² in its Factorized form is equals to 

a) (x -1/6)(3x + 5/6) b) (3x + 1/6)(x - 5/6) c) (x +1/6)(3x - 5/6) d) (3x - 1/6)(x + 5/6) 

9) Factors of a³ - 2√2 b³ are

a) (a - √2 b)(a²+ √2 ab + 2b²)  b) (a - 2√2 b)(a²- √2 ab + 2b²)  c) (a + √2 b)(a² - √2 ab + 2b²) d) (a + √2 b)(a²+ √2 ab + 2b²) 

10) The value of 10³ - (5)³ - (5)³ is 

a) 750 b) 1000 c) 250 d) 500

11) Factorize 4(x + y)² - 9(x - y)²

a) (5x -y)(5y - x) b) (5x + y)(5y - x) c) (5x -y)(5y + x) d) (5x +y)(5y + x)

12) Factorize x³ - 3x²+ 3x +7

a) (x+1)(x²- 4x+7) b) (x-1)(x²+ 4x+7) c) (x+1)(x²+ 4x+7) d) (x-1)(x²- 4x+7)

13) Evaluate: (2)³ - (1/5)³.

14) Using a suitable identity evaluate 55³ - 25³ - 30³.

15) Factorize: a(a -3) - b(b -3).

16) Factorize: 1- 18x - 63x².

17) Factorize: x²+ x/6 - 1/6.

18) Factorize: 27x⁴ - 8x.