# Worksheet: Forming a Quadratic Equation from its Roots

In this worksheet, we will practice writing a quadratic equation given its roots.

**Q7: **

If one of the roots of the equation is a root of the equation , what is the value of ?

- A or 0
- B
- C27 or 0
- D0

**Q8: **

If and are the roots of the equation , what is the value of ?

**Q10: **

Given that a root of the equation is , what is the value of ?

**Q11: **

If and are the roots of the equation , what is the value of ?

**Q12: **

Find the values of for which one of the roots of the equation is the square of the other.

- A24,
- B, 18
- C, 27
- D, 162
- E384,

**Q14: **

Given that is a solution of the equation , find the value of .

**Q15: **

Given that 3 is a solution of the equation , find the value of .

**Q19: **

What is the product of the roots of the quadratic equation ?

- A
- B
- C
- D

**Q21: **

Given that and are the roots of the equation , find the value of .

**Q22: **

The difference between the roots of the equation is . What is the value of ?