JAMB Mathematics 2010 Objective — Question 14

Question 14 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

14. If 9x^2+6xy+4y^2 is a factor of 27x^3-8y^3, find the other factor. A. 3x + 2y B. 3x - 2y C. 2y + 3x D. 2y - 3x

A. 3x + 2y
B. 3x - 2yCorrect
C. 2y + 3x
D. 2y - 3x

Explanation

27x^3-8y^3 = (3x)^3-(2y)^3 = (3x-2y)[(3x)^2+(3x)(2y)+(2y)^2] = (3x-2y)(9x^2+6xy+4y^2). The other factor is (3x-2y).

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Mathematics 2010 Objective More Mathematics past papers