WMA12/01 Jan 2024, Question 1: The Factor and Remainder Theorems
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 2 (WMA12) · Calculator · 3 marks
The question, in short
For f(x) = ax³ + 3x² − 8x + 2 with constant a, use the remainder 3 when dividing by (x − 2) to find a.
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Solution · 3 marks
- 1By the remainder theorem, f(2) = 3
- 2a(2)³ + 3(2)² − 8(2) + 2 = 3
- 38a + 12 − 16 + 2 = 3
- 48a = 5, so a = 5/8
Answera = 5/8
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