Page 43 - Math SL HB Sem 1

Exercises on Binomial Theorem (SL)

A Find the coefficient ofri in the expansion of(3x _ 2)s

(Total4 marks)
2. Find the coefficient ofa36a in the expansion of(5a + b)7.

(Total 4 marks)
J Find the coefficient ofa567 in the expansion of (a + 6)t2.

(Total4 marks)

4. Determine the consrant rerm in the expansion of
(, - iJ'

(Total4 marks)
5. Use the binomial theorem to complete this expansion.

(3x +2y14 = Btxa + 216yr y 1...

(Total 4 marks)

6. considerthebinomialexpansio, (,*,).=r.[1),"(;)u11;r_,.

(a) By subslitutinsx = I into bothsides, orotherwise, **".
Il)_[l)_(1)

(b) ."",".," (i).(;).0.0.[;).(:).0.[;J

(Total.l marks)
tb Consider lhe expanrio. or 1J'.
[:r, -

(a) How many terms are there in this expansion?

(b) Find the constan( lerm in this expansion.

(Total6 marks)
8. Find the coelficient of-r3 in the expansion of (2 x)5.
-

(Total 6 m.rks)

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