In this worksheet, we will practice completing the square for expressions where the coefficient of the leading term is one or otherwise.

**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 completed square 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
- E

**Q13: **

Write the equation in the form .

- A
- B
- C
- D

**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

**Q17: **

Write the equation in the form .

- A
- B
- C
- D
- E

**Q19: **

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

- A
- B
- C
- D
- E

**Q20: **

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

- A
- B
- C3
- D
- E

**Q21: **

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

- A
- B
- C
- D
- E

**Q22: **

Given that and , find the value of .

**Q23: **

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

- A
- B
- C
- D
- E

**Q24: **

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

- A when
- B when or
- C when
- D when
- Ewhen

**Q25: **

Factorise fully .

- A
- B
- C
- D
- E