Binomial Theorem Past IB Exam Questions PDF

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