# Worksheet: Finding a Specific Term Using the Binomial Theorem

Q1:

Find the term free of in .

• A
• B
• C
• D
• E

Q2:

Find the term free of in .

• A
• B
• C
• D
• E

Q3:

Find the term independent of in the expansion of .

Q4:

Is there a term free of in the expansion of ?

• Ayes
• Bno

Q5:

Given that the sixth term in the expansion of is independent of , find and the value of the sixth term.

• A , sixth term is
• B , sixth term is
• C , sixth term is
• D , sixth term is

Q6:

Consider the expansion of . Determine all the values of such that the expansion has a constant term (a term free from ).

• A
• B
• C
• D

Q7:

What is the term independent of in the expansion of

Q8:

Determine the value of the term independent of in the expansion of .

Q9:

Find the term that includes in .

• A
• B
• C
• D
• E

Q10:

Find the term that includes in .

• A
• B
• C
• D
• E

Q11:

Find the term that includes in .

• A
• B
• C
• D
• E

Q12:

Find the term that includes in .

• A
• B
• C
• D
• E

Q13:

Find the term independent of in the expansion of

Q14:

Determine the order of the term free of in the expansion of , and find its value when .

• A
• B
• C
• D

Q15:

In the expansion of , determine the term that has .

• A
• B
• C
• D

Q16:

In the expansion of , determine the term that has .

• A
• B
• C
• D
• E

Q17:

In the expansion of , determine the term that has .

• A
• B
• C
• D
• E

Q18:

Find the term independent of in the expansion of

• A
• B84
• C1
• D
• E

Q19:

Find the term containing in the expansion of

• A
• B
• C
• D