In this worksheet, we will practice using different strategies for solving polynomial equations of degree greater than two.

**Q3: **

Given that and , find the other roots of .

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

**Q4: **

Which of the following is a factorized form of ?

- A
- B
- C
- D
- E

**Q5: **

By factoring, find all the solutions to , given that and are factors of .

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

**Q6: **

Find the values of , , and given that , , and are factors of .

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

**Q7: **

How many roots does the polynomial have?

**Q8: **

Solve the equation .

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

**Q9: **

Factorise the expression fully.

- A
- B
- C
- D
- E

**Q10: **

Factorise the expression fully.

- A
- B
- C
- D
- E

**Q11: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q12: **

Given that is in , find the value of which satisfies the following equation . Give your answer to the nearest hundredth.

**Q13: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q14: **

According to the fundamental theorem of algebra, how many complex solutions does the equation have, counted with multiplicity?

- AExactly two
- BAt least one, but the exact number is unknown.
- CInfinitely many
- DEight

**Q15: **

How many roots does the equation have?