MATHEMATICS
JAMB 2010 - Question 14
Mathematics 2010 JAMB Past Questions - Question 14: If 9x² + 6xy + 4y² is a factor of 27x³ - 8y³ , find the other factor.
A:
B:
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D:
Correct Answer
A
Explanation
To find the other factor when 9x² + 6xy + 4y² is a factor of 27x³ - 8y³, we can use polynomial division.Let's perform the division: 3x - 2y ___________________9x² + 6xy + 4y² | 27x³ + 0x² - 8y³ - (27x³ + 18xy² + 12y³) ___________________ -18xy² - 20y³The remainder of the division is -18xy² - 20y³.Therefore, the other factor is 3x - 2y.
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