Worksheet on Factoring Trinomials

Practice the worksheet on factoring trinomials to know how to factorize the quadratic expression of the form ax² + bx + c. We know, in order to factorize the expression ax² + bx + c, we have to find two numbers p and q, such that p + q = b and p × q = ac.

1. Factoring trinomials of the form ax² + bx + c:

(i) 2m² + 11m + 12

(ii) 3m² + 8m + 4

(iii) 3m² - 13m + 14

(iv) 4m² - 7m + 3

(v) 5m² - 11m - 12

(vi) 7m² - 15m – 18



2. Factor trinomials:

(i) 7m² + 6m – 1

(ii) 9m² + 35m – 4

(iii) 2m² - 5m + 3

(iv) 7m - 6 - 2m²

(v) 11m² - 54m + 63

(vi) m² + 2m – 3



3. Factorize the quadratic expression:

(i) 2a² + 5a + 2

(ii) 3x² + 14x + 8

(iii) 2m² + 7m + 6

(iv) 6x² – x - 15

(v) 9r² – r - 8

(vi) 12 + x - 6x²

(vii) 6 + 5a – 6a²

(viii) x² + 8x – 105

Answers for the worksheet on factoring trinomials are given below to check the exact answers of the above quadratic expression.

Answers:

1. (i) (2m + 3)(m + 4)   

(ii) (3m + 2)(m + 2)   

(iii) (m - 2)(3m – 7)   

(iv) (4m - 3)(m – 1)    

(v) (5m + 4)(m – 3)  

(vi) (7m + 6)(m – 3)    

2. (i) (7m – 1)(m + 1)  

(ii) (m + 4)(9m - 1)     

(iii) (2m - 3)(m – 1)

(iv) (3 – 2m)(m – 2)

(v) (11m - 21)(m – 3)

(vi) (m + 3)(m – 1)

3. (i) (a + 2)(2a + 1)

(ii) (x + 4)(3x + 2)

(iii) (m + 2)(2m + 3)

(iv) (2x + 3)(3x - 5)

(v) (r – 1)(9r + 8)

(vi) (3 – 2x)(4 + 3x)

(vii) (3 – 2a)(2 + 3a)

(viii) (x + 15)(x – 7)

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