Exercises for Question Type 8: Converting the quadratic to a product of linear terms

Question 1

Skill question

Factorise the quadratic expression $2 x^{2} - 4 x - 6$ .

[3]

Question 2

Skill question

Expand and simplify the expression $2 (x - 1) (x + 2)$ to the form $a x^{2} + b x + c$ .

[3]

Question 3

Skill question

Factorise the quadratic expression $x^{2} + 4 x + 4$ .

[2]

Question 4

Skill question

Factorise the quadratic expression $5 x^{2} - 20 x + 15$ . [2 marks]

[2]

Question 5

Skill question

Factorise the quadratic expression $x^{2} - x - 6$ .

[2]

Question 6

Skill question

Factorise the quadratic expression $4 x^{2} - 4 x + 1$ .

[2]

Question 7

Skill question

Factorise the quadratic expression $6 x^{2} - x - 2$ .

[2]

Question 8

Skill question

Express the quadratic $2 x^{2} + 7 x + 3$ in the form $(2 x + r) (x + s)$ .

[2]

Question 9

Skill question

Given that $(x + m) (x + 4)$ expands to $x^{2} + 10 x + 24$ , find the value of $m$ .

[3]

Question 10

Skill question

Factorise the quadratic expression $x^{2} + 5 x + 6$ .

[2]

Question 11

Skill question

Factorise the quadratic expression $3 x^{2} + 6 x + 3$ .

[2]

Question 12

Skill question

Expand and simplify the expression $(x - 3) (x + 5)$ to the form $a x^{2} + b x + c$ .

[2]

IB Mathematics Applications & Interpretation Question Type 8: Converting the Quadratic to a Product of Linear Terms Exercises