Practice Questions for Splitting the Middle Term

Class 10/Mathematics/Chapter 2

Practice the worksheet on factoring quadratic equations. The questions are based on different types of problems on factoring by splitting the middle term.

1. Factorize the quadratic equations:

(i) x² + 5x + 6

(ii) x² + 10x + 24

(iii) x² + 12x + 27

(iv) x² + 15x + 56

(v) x² + 19x + 60

(vi) x² + 13x + 40

(vii) x² - 10x + 24

(viii) x² - 23x + 42

(ix) x² - 17x + 16

(x) x² - 21x + 90

 

2. Factorize the expressions completely:

(i) x² - 22x + 117

(ii) x² - 9x + 20

(iii) x² + x - 132

(iv) x² + 5x - 104

(v) y² + 7y - 144

(vi) z² + 19z - 150

(vii) y² + y - 72

(viii) x² + 6x - 91

(ix) x² - 4x -77

(x) x² - 6x - 135

 

3. Factor by splitting middle term:

(i) x² - 11x - 42

(ii) x² - 12x - 45

(iii) x² - 7x - 30

(iv) x² - 5x - 24

(v) 3x² + 10x + 8

(vi) 3x² + 14x + 8

(vii) 2x² + x - 45

(viii) 6x² + 11x - 10

(ix) 3x² - 10x + 8

(x) 2x² - 17x – 30

 

 

 

 

 

Answers:

 

1. (i) (x + 3)(x + 2) 

(ii) (x + 6)(x + 4) 

(iii) (x + 9)(x + 3) 

(iv) (x + 8)(x + 7) 

(v) (x + 15)(x + 4) 

(vi) (x + 8)(x + 5) 

(vii) (x - 6)(x - 4) 

(viii) (x - 21)(x - 2) 

(ix) (x - 16)(x - 1) 

(x) (x - 15)(x - 6) 

2. (i) (x - 13)(x - 9) 

(ii) (x - 5)(x - 4) 

(iii) (x + 12)(x - 11) 

(iv) (x + 13)(x - 8) 

(v) (y + 16)(y - 9) 

(vi) (z + 25)(z - 6) 

(vii) (y + 9)(y - 8) 

(viii) (x + 13)(x - 7) 

(ix) (x - 11)(x + 7) 

(x) (x - 15)(x + 9) 

3. (i) (x - 14)(x + 3) 

(ii) (x - 15)(x + 3) 

(iii) (x - 10)(x + 3) 

(iv) (x - 8)(x + 3) 

(v) (x + 2)(3x + 4) 

(vi) (x + 4)(3x + 2) 

(vii) (x + 5)(2x - 9) 

(viii) (2x + 5)(3x - 2) 

(ix) (x - 2)(3x - 4) 

(x) (x - 10)(2x + 3)