# Worksheet: Higher-Degree Polynomial Equations

Q1:

Solve the equation .

• A , , ,
• B , , ,
• C , , ,
• D , , ,
• E , , ,

Q2:

Which of the following is a factorized form of ?

• A
• B
• C
• D
• E

Q3:

Which of the following is a factorized form of ?

• A
• B
• C
• D
• E

Q4:

Factor the expression fully.

• A
• B
• C
• D
• E

Q5:

Find the solution set of in .

• A
• B
• C
• D
• E

Q6:

Factor the expression fully.

• A
• B
• C
• D
• E

Q7:

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

Q8:

How many roots does the polynomial have?

Q9:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q10:

Solve the equation .

• A , , ,
• B , , ,
• C , , ,
• D , , ,
• E , , ,

Q11:

Given that and , find the other roots of .

• A ,
• B ,
• C ,
• D ,
• E ,

Q12:

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

• A , , ,
• B , , ,
• C , , ,
• D , , ,
• E , ,

Q13:

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

• 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?