Factors of polynomials: CAIE IGCSE Additional Maths questions
Every CAIE IGCSE Additional Maths exam question on 3 Factors of polynomials, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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All 3 questions on Factors of polynomials, as a list
- June 2024, Paper 1, Q2 (6 marks): DO NOT USE A CALCULATOR IN THIS QUESTION. The polynomial p is such that ( ) p x 6 x 3 35 x 2 34 x 45 . = - + + (a) Find ( )x p in the form ( 2 x 5 q ) ( ) x r ,
- Specimen, Paper 1, Q1 (3 marks): y 10 – 1 0 0.5 2 x The diagram shows the graph of y = |f(x)| , where f(x) is a cubic function. Find the possible expressions for f(x) in factorised form. [3]
- Specimen, Paper 1, Q2 (8 marks): The polynomial p(x) = 6x3 + ax2 + bx + 2 , where a and b are integers, has a factor of x – 2 . (a) Given that p(1) = –2p(0) , find the values of a and b. [4] (b
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![Specimen Paper 1, question 1: y 10 – 1 0 0.5 2 x The diagram shows the graph of y = |f(x)| , where f(x) is a cubic function. Find the possible expressions for f(x) in factorised form. [3]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/060601-spec-01-qp.webp)
![Specimen Paper 1, question 2: The polynomial p(x) = 6x3 + ax2 + bx + 2 , where a and b are integers, has a factor of x – 2 . (a) Given that p(1) = –2p(0) , find the values of a and b. [4] (b](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/060601-spec-02-qp.webp)