# Worksheet: Completing the Square

In this worksheet, we will practice completing the square to factor quadratic expressions.

**Q6: **

Given that , what are the values of , , and ?

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

**Q7: **

What is the vertex form of the function ?

- A
- B
- C
- D
- E

**Q9: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q10: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q11: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q12: **

Write the equation in the form .

- A
- B
- C
- D

**Q13: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q14: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q15: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q16: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q18: **

Which of the following equations can be transformed into the equation by expanding, rearranging, and multiplying by a scalar?

- A
- B
- C
- D
- E

**Q19: **

Given that can be written in the form , find the value of .

- A
- B
- C
- D
- E3

**Q20: **

Find the values of for which the equation is satisfied by only one value of .

- A
- B
- C
- D
- E

**Q21: **

Given that and , find the value of .

**Q22: **

Which of the following equations can be expanded and rearranged to ?

- A
- B
- C
- D
- E

**Q23: **

By writing in the form , determine when the equation has no real roots.

- Awhen
- Bwhen or
- Cwhen
- Dwhen
- Ewhen

**Q24: **

Factorise fully .

- A
- B
- C
- D
- E

**Q25: **

Factorise fully .

- A
- B
- C
- D
- E