## Exam-Style Questions on Binomial Theorem## Problems on Binomial Theorem adapted from questions set in previous exams. |

## 1. | IB Standard |

If you expanded \((2x-3)^{15}\), the term containing \(x^6\) can be written as \(\binom{15}{a}\times(2x)^b\times(-3)^c\)

(a) Write down the values of \(a\), of \(b\) and \(c\).

(b) Find the coefficient of the term containing \(x^6\).

## 2. | IB Standard |

If \((x+5)^{10}\) is expanded

(a) how many terms would there be?

(b) what is the coefficient of the term containing \(x^4\)?

## 3. | IB Standard |

The constant term in the expansion of \(x^4(2x^2+\frac{m}{x})^7\) is 896

Find \(m\).

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