Binomial Theorem Past IB Exam Questions PDF
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This document contains past IB exam questions focused on the binomial theorem. The questions cover various aspects of the theorem, including finding coefficients and expanding expressions. These questions are suitable for secondary school students studying mathematics.
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1NO Binomial Theorem - past IB exam questions 1. Find the coefficient of x5 in the expansion of (3x – 2)8. 9 2 2. Determine the constant term in the expansion of x...
1NO Binomial Theorem - past IB exam questions 1. Find the coefficient of x5 in the expansion of (3x – 2)8. 9 2 2. Determine the constant term in the expansion of x – 2 . x 5 x 3. NO CALCULATOR Use the binomial theorem to expand 2 + . Hence find the value 5 of (2.01)5 correct to 5 decimal places. 4. Find the term containing x10 in the expansion of (5 + 2x2)7. ℤ 5. ( ) 4 Express 2 − 3 in the form a + b 6 where a, b 6. Use the binomial theorem to complete this expansion. (3x + 2y)4 = 81x4 + 216x3 y +... 7. Write down the quadratic expression 2x2 + x – 3 as the product of two linear factors. Hence, find the coefficient of the linear term in the expansion of ( 2x2 + x – 3 )8. 8. Determine the first three terms in the expansion of (1− 2x)5 (1+ x)7 in ascending powers of x. 9. n x When 1 + , n , is expanded in ascending powers of x, the coefficient of x3 is 70. 2 (a) Find the value of n. (b) Hence, find the coefficient of x2. 10. n 2 4 Expand o and simplify x 2 − . x c a l c