# Worksheet: Forming a Quadratic Equation Using Another Quadratic Equation

In this worksheet, we will practice writing a quadratic equation given the roots of another quadratic equation.

**Q3: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q4: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q6: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q10: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q11: **

- A
- B
- C
- D
- E

**Q12: **

- A
- B
- C
- D
- E

**Q13: **

The roots of the equation are and , where . Find the value of , and determine, in its simplest form, the equation whose roots are and .

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

**Q14: **

- A
- B
- C
- D
- E

**Q15: **

- A
- B
- C
- D
- E

**Q16: **

- A
- B
- C
- D
- E

**Q17: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q18: **

- A
- B
- C
- D
- E

**Q19: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q20: **

- A
- B
- C
- D
- E

**Q21: **

The roots of the equation are and , where . Find, in its simplest form, the quadratic equation whose roots are and .

- A
- B
- C
- D
- E

**Q22: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are 2 and .

- A
- B
- C
- D
- E

**Q23: **

- A
- B
- C
- D
- E

**Q24: **

- A
- B
- C
- D
- E

**Q25: **

- A
- B
- C
- D
- E