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IGCSE Additional Mathematics 0606/11 — May/Jun 2024
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IGCSE Additional Mathematics 0606/11 Paper 1 May/Jun 2024

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Question

Express the polynomial p(x) = 6x³ − 35x² + 34x + 45 in the form (2x − 5)q(x) + r, where q(x) is a polynomial and r is a constant remainder.

Steps

Step-by-step reasoning

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•Use polynomial long division to divide p(x) by 2x − 5

•q(x) will be the quotient polynomial, r the remainder constant

Answer

p(x) = (2x − 5)(3x² − 10x − 8) + 5, so q(x) = 3x² − 10x − 8 and r = 5

SubjectAdditional Mathematics
CurriculumCambridge IGCSE 0606
TopicPolynomials — division & remainder

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