Course home

1.7.1 Binomial expansion

Find the first three terms, in ascending powers of $x$ , of the binomial expansion of

2 + kx)^6

where $k$ is a constant. Give each term in simplest form.

[3]

The population $P$ of a bacterial culture is modeled for small time intervals $x$ by the expression

5 - 2.5x)(2 + kx)^6

where $k$ is a growth constant. Given that the coefficient of $x^2$ in the expansion of this expression is $60$ , find the possible values of $k$ .

[4]

1.7.1 Binomial expansion Questions

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

Find the first three terms, in ascending powers of $x$ , of the binomial expansion of

2 + kx)^6

where $k$ is a constant. Give each term in simplest form.

[3]

The population $P$ of a bacterial culture is modeled for small time intervals $x$ by the expression

5 - 2.5x)(2 + kx)^6

where $k$ is a growth constant. Given that the coefficient of $x^2$ in the expansion of this expression is $60$ , find the possible values of $k$ .

[4]

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.