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4.2 Expanding (a + bx)^n

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Question 82

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]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.

4.2 Expanding (a + bx)^n

Question bank

4.2 Expanding (a + bx)^n

Easy Medium

Question 82

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]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.