Binomial Theorem Practice [52 marks]
1. In the expansion of , the coefficient of the term in is 11880. Find the
value of .
ax3(2 + ax)11 x5
a
2. In the expansion of , the coefficient of the term in is , where
. Find .
(3x+ 1)nx2135n
n∈Z+n
3a.
Consider the expansion of .
Write down the number of terms in this expansion.
(2x+ 3)8
3b. Find the term in .x3
4. The third term in the expansion of is . Find the possible values of .(x+k)863x6k
5a.
In the expansion of
, the term in
can be expressed as
.
(a) Write down the value of , of and of .
(b) Find the coefficient of the term in .
(3x− 2)12
x5
(12
r)× (3x)p× (−2)q
p q r
x5
5b. Write down the value of , of and of .p q r
5c. Find the coefficient of the term in .x5
6. The constant term in the expansion of , where is . Find .(+)6
x
a
a2
xa∈R1280 a
7a.
Consider the expansion of
.
Write down the number of terms in the expansion.
(3x2+ 2)9
7b. Find the term in .x4
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