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:
Factorize fully .
- A
- B
- C
- D
- E
Q25:
Factorize fully .
- A
- B
- C
- D
- E