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GCSEFurther MathsAQAExam Questions2. Algebra & FunctionsBinomial Expansion

Binomial Expansion (AQA GCSE Further Maths)

Exam Questions

50 mins13 questions
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1
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Expand open parentheses a plus b close parentheses to the power of 4

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2
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Expand and simplify open parentheses 1 minus t close parentheses to the power of 6

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3
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Expand and simplify open parentheses x plus 2 close parentheses to the power of 5

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4
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Expand and simplify   space open parentheses x minus 5 close parentheses cubed

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5
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Find the coefficient of the p q cubed term in the expansion of open parentheses p minus 2 q close parentheses to the power of 4

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1
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Expand and simplify fully open parentheses 3 plus 10 x close parentheses to the power of 4

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2
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Expand and simplify 10 open parentheses 4 x cubed plus x to the power of 5 close parentheses to the power of 5

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3
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The coefficient of x squared in the expansion of open parentheses a plus 3 x close parentheses to the power of 5 is 720.

Work out the value of a.

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4
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The coefficient of the x to the power of 4 term in the expansion of left parenthesis 2 x plus a right parenthesis to the power of 6 is 60

Work out the possible values of a.

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5
Sme Calculator4 marks

The coefficient of x squared in the expansion of open parentheses 1 plus a x close parentheses cubed is equal to the coefficient of x cubed in the expansion of open parentheses 1 minus a x close parentheses to the power of 4.

Work out the non-zero value of a.

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1
Sme Calculator6 marks

The sum of the coefficient of x squared in the expansion of open parentheses k over 2 minus x close parentheses to the power of 4 and the coefficient of x to the power of 5 in the expansion of open parentheses k plus x close parentheses to the power of 6 is 18.

By forming and solving an equation, find the possible values of k.

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2
Sme Calculator4 marks

In the expansion of open parentheses x plus 2 over x squared close parentheses to the power of 6 show that there is a constant term, and find the value of this constant.

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3
Sme Calculator6 marks

open parentheses b minus x close parentheses open parentheses 2 plus x close parentheses to the power of 5 identical to 128 plus p x plus q x squared plus...

Find the values of constants space p and q.

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