Worksheet on Factoring Quadratic Trinomials

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

1. Factorize the quadratic trinomials:

(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 for worksheet on factoring quadratic trinomials are given below to check the exact answer.

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)