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• # [ended]Mathematics Tutoring Session #5 (Binomial Theory [Mon 22nd Feb 2016, 4:00 - 5:00pm])

Mathematics

Emmanuel Iwara(Tutor)
22-02-2016 13:30:00 +0000

Good day all

This session has ended for today

The concept of binomial theorem and expansion is often tested on JAMB and other exams. so lets take a quick look into this topics.

Binomials - A polynomial is a series of terms. when there are only two terms the expression is called a binomial.

Trionomial- A three-termed expression is called a trinomial.

The Expansion of (a + b)n for any value of n is

(a + b)n = an + nan-1b1 + n (n-1) an-2b2 / 2! + n(n-1)(n-2)an-3/ 3! + ... +bn

Can anyone provide solutions to the following;

(a) Calculate the value of (2.01)3correct to 3 s.f., without using tables.

(b) Expand ( 1 + 2x )4

(c) Find the third term in the expansion of (a + b)5

(d) Find the coefficient of x10 in the expansion of (2 + x)12

(e) In the expansion of (1-2x)3,write down the number of terms.

• dave legend

b 1+8x+24(x^2)+32(x^3)+16(x^4) c 66

0 22-02-2016 14:38:00 +0000

• dave legend

d is 66 rather not c

0 22-02-2016 14:40:00 +0000

• Emmanuel Iwara(Tutor)

0 22-02-2016 15:09:00 +0000

• Emmanuel Iwara(Tutor)

@Adewale the correct answer to question (d) is 16896, since 1 2 combination 10 gives 66 x 2^8 = 16896

0 22-02-2016 15:15:00 +0000

• dave legend

a (2+0.01) using bionomial theorem.. I have 8+0.12+0.0006+0.000001 =8.120601 approximately to 8.12

0 22-02-2016 15:16:00 +0000

• Emmanuel Iwara(Tutor)

0 22-02-2016 15:19:00 +0000

• Emmanuel Iwara(Tutor)

Hi class are we still there

0 22-02-2016 15:35:00 +0000

• Saint Alpha

yea,It's just that I am lost,Lyk sooo lost

0 22-02-2016 15:41:00 +0000

• Emmanuel Iwara(Tutor)

@Saint Alpha from what point of view are you lost

0 22-02-2016 15:45:00 +0000

• Kolawole Kwiz

Need more explanation on binomial theorem and working on question c and e thank you

0 22-02-2016 15:57:00 +0000