- Binominial expansion
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- a) Using binomial expansion, determine the first five terms of the expansion: (2mks)
- b) Use the expansion above to evaluate (2mks)
- (a) Expand and simplify the binomial expression (2 + x)5 upto the term in x3. (2mks)
(b) Use your expression to estimate (1.97)5 correct to 4 s.f. (2mks)
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- (a) Expand 1 – 3x
(b) use your expansion to estimate the value of 0.997 Correct to 4 d.p.
- (i) Expand 5 + X upto the term in X3
2
(ii) Use your expansion to estimate the value of correct to one decimal place
- (a) Expand ( 3 + 2x)6 up to the fourth term
(b) Use your expansion to estimate:- (3 3 )6
6 Two dice are thrown once and their sum noted. Find the probability that the sum is odd
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- Find the length PR in a triangle PQR having PQ = 12cm, QR = 8.4cm angle QPR = 35o
and angle PRQ = 75o leaving your answer correct to decimal places
- (a) Use binomial expansion to evaluate (2+3)5 up to the fifth term
x
(b) By expressing 9.5 in the form (2 + 3), use the expansion in (a) above to calculate (9.5)5
correct to 3 d.p x
- Use the expansion of (x – 0.2)5 to find the exact value of 9.85
- Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
- Expand 1 + x in ascending powers of x upto the fourth term.
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12
Use the four terms to evaluate 5/4 to 4 decimal places.
- (a) Expand and simplify the binominal expression ( 1 + ½ x)8
(b) Use the expansion up to the fourth term to evaluate (1.05)8 to 2 decimal places
- Expand (3 + x)4 in ascending powers of x. Use the first three terms of the expansion to
evaluate (3.02)4, correct to 3 decimal places
