# Worksheet: Factoring Monic Quadratics

In this worksheet, we will practice factoring quadratics where the coefficient of the leading term is one.

**Q4: **

Factor .

- A
- B
- C
- D
- E

**Q5: **

Factor .

- A
- B
- C
- D
- E

**Q6: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q7: **

Find the solution set of in .

- A
- B
- C
- D

**Q9: **

Factorise fully .

- A
- B
- C
- D

**Q10: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q11: **

Given that , find .

**Q12: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q13: **

By factoring, solve the equation .

- A ,
- B
- C
- D ,
- E

**Q14: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q15: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q16: **

Find the solution set of the equation in .

- A
- B
- C
- D

**Q17: **

Solve the equation .

- A ,
- B ,
- C ,
- D ,

**Q18: **

Identify the solutions to the equation .

- A or
- B or
- C or
- D or

**Q19: **

At which values of does the graph of the equation cross the -axis?

- A and
- B 0 and
- C 0 and
- D0 and 10
- E0 and

**Q20: **

At which values of does the graph of the equation cross the -axis?

- A and
- B2 and
- C4 and
- D and 6
- E 4 and 12

**Q21: **

Find algebraically the solution set of the equation .

- A
- B
- C
- D

**Q22: **

Factor the equation .

- A
- B
- C
- D
- E

At which values of does the graph of cross the -axis?

- A3 and
- B3
- C4.5 and
- D9 and
- E4.5

**Q23: **

Find the solution set of the equation .

- A
- B
- C
- D

**Q24: **

What property is illustrated by the step

- AThe commutative property of addition
- BThe associative property of addition
- CThe associative property of multiplication
- DThe distributive property of multiplication over addition
- EThe property of opposites