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1.7.1 Binomial expansion

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Question 83

Expand $(9−2x)12\displaystyle (9 - 2x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion, with a suitable value of $x$ , to find the value of $\sqrt{8.9}\,$ correct to five significant figures. State the value of $x\,$ that you use.

[2]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

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.

1.7.1 Binomial expansion

Question bank

1.7.1 Binomial expansion

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Question 83

Expand $(9−2x)12\displaystyle (9 - 2x)^{\frac{1}{2}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion, with a suitable value of $x$ , to find the value of $\sqrt{8.9}\,$ correct to five significant figures. State the value of $x\,$ that you use.

[2]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

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.