Exercises for Question Type 2: Factorizing to get from ax^2 + bx + c to a(x-p)(x-q)

Question 1

Skill question

Factorise $6 x^{2} - x - 2$ into the form $6 (x - p) (x + q)$ .

[3]

Question 2

Skill question

Factorise $9 x^{2} - 30 x + 25$ into the form $9 (x - p) (x - q)$ .

[3]

Question 3

Skill question

Factorise $2 x^{2} - 10 x + 12$ into the form $2 (x - p) (x - q)$ .

[2]

Question 4

Skill question

Factorise $- 2 x^{2} + 5 x - 3$ into the form $- 2 (x - p) (x - q)$ .

[2]

Question 5

Skill question

Factorise $3 x^{2} + 12 x + 12$ into the form $3 (x + p) (x + q)$ .

[2]

Question 6

Skill question

Factorise $2 x^{2} + 9 x + 10$ .

[2]

Question 7

Skill question

Factorise $7 x^{2} - 14 x + 7$ into the form $7 (x - p) (x - q)$ .

[2]

Question 8

Skill question

Factorise $4 x^{2} + x - 3$ .

[2]

Question 9

Skill question

Factorise $4 x^{2} - 12 x + 9$ into the form $4 (x - p) (x - q)$ .

[2]

Question 10

Skill question

Factorise $5 x^{2} - x - 4$ into the form $5 (x - p) (x + q)$ .

[3]

Question 11

Skill question

Factorise $8 x^{2} + 2 x - 3$ .

[4]

Question 12

Skill question

Factorise $3 x^{2} - 7 x - 6$ .

[2]

IB Mathematics Analysis and Approaches Question Type 2: Factorizing to Get from Ax^2 + Bx + c to A(x-p) Exercises