Exercises for Question Type 11: Finding coefficient of term using general binomial expansion formula - IB | RevisionDojo

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Question Type 11: Finding coefficient of term using general binomial expansion formula

Question Type 11: Finding coefficient of term using general binomial expansion formula Exercises

Question 1

Find the coefficient of $x^4$ in the expansion of $(1 + x)^{\frac{5}{2}}$ .

[2]

Question 2

Find the constant term in the expansion of $\left(x^2 + \frac{1}{x^3}\right)^{\frac{5}{2}}$ .

[4]

Question 3

Find the coefficient of $x^2$ in the expansion of $(1 - x)^{-\frac{5}{2}}$ .

[3]

Question 4

Find the coefficient of $x^5$ in the expansion of $(1 - 2x)^7$ .

[3]

Question 5

Find the coefficient of $x^2$ in the expansion of $(3 + 2x)^{\frac{7}{3}}$ .

[4]

Question 6

Find the constant term in the expansion of $\left(2x + \frac{1}{x}\right)^6$ .

[4]

Question 7

Find the coefficient of $x^3$ in the expansion of $(1 + x)^5$ .

[2]

Question 8

Find the coefficient of $x^2$ in the expansion of $(1 + 2x)^{-\frac{3}{2}}$ .

[3]

Question 9

Find the coefficient of $x^2$ in the expansion of $(x + 3)^5$ .

[3]

Question 10

Find the coefficient of $x^4$ in the expansion of $(2 + x)^6$ .

[3]

Question 11

Find the constant term in the expansion of $(x^2 + \frac{1}{x})^6$ .

[4]

Question 12

Find the coefficient of $x^2$ in the expansion of $\left(3x - \frac{1}{x^2}\right)^5$ .

[4]