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Exercises for Question Type 7: Finding corresponding coefficients using general binomial term - IB | RevisionDojo

IB
Question Type 7: Finding corresponding coefficients using general binomial term

Question Type 7: Finding corresponding coefficients using general binomial term Exercises

Question 1

Find the coefficient of $x^8$ in the expansion of $(5x^2-2)^6$ .

[4]

Question 2

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

[3]

Question 3

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

[4]

Question 4

Find the coefficient of $x^6$ in the expansion of $(1+x)^{15}$ .

[3]

Question 5

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

[4]

Question 6

Find the coefficient of $x^8$ in the expansion of $(3x^2+2x)^6$ .

[4]

Question 7

Find the coefficient of $x^4$ in $(1+x)^9$ .

[2]

Question 8

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

[4]

Question 9

Type: Long Answer | Level: - | Paper: -

Find the coefficient of $x^4$ in the expansion of $(3x+1)^7$ .

[3]

Question 10

Find the coefficient of $x^7y^3$ in the expansion of $(x-2y)^{10}$ .

[4]

Question 11

Find the coefficient of $x^4$ in the expansion of $(1-2x)^8$ .

[4]

Question 12

Find the coefficient of $x^5$ in the expansion of $(2x-3)^8$ .

[4]

Question 13

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

[4]