Binomial Theorem
Binomial Theorem Practice #2
Unit 1: Topic 4
IB Math SL
Answer the following:
1. Use the first three terms in the expansion of (1 + x)4 to find an approximate value for 1.014.
2. Find the coefficient of x3 in the expansion of (2x2 – [pic])6.
3. Find the constant term in the expansion of (x + [pic])15.
4. Find the coefficient of x-3 in the expansion of (x – 1)3(1/x + x)6.
5. Find the constant term in the expansion of (x – [pic])9.
6. Find the coefficient of x12 in the expansion of (2x2 – [pic])12.
7. If the coefficient of the x2 term in the expansion of (1 – 3x)n is 90, find n.
8. Find the coefficient of x10 in the expansion of (3 + 2x2)10.
9. In the expansion of (x + a)3(x – b)6 the coefficient of x7 is -9 and there is no x8 term. Find a and b.
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