Factorization of polynomials - Jamb Mathematics Past Questions and Answers

Question 66:

• JAMB 1999

Express \(\frac{1}{x^{3}-1}\) in partial fractions

A. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x + 2)}{x^{2} + x + 1})\)
B. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{x - 2}{x^{2} + x + 1})\)
C. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 2)}{x^{2} + x + 1})\)
D. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 1)}{x^{2} - x - 1})\)

Question 67:

• JAMB 2001

Factorize 4x² - 9y² + 20x + 25

A. (2x -3y + 5)(2x - 3y - 5)
B. (2x - 3y)(2x + 3y)
C. (2x - 3y +5)(2x + 3y + 5)
D. (2x + 5)(2x - 9y +5)

Question 68:

• JAMB 2003

Factorize completely 4abx - 2axy -12b²x + 6bxy

A. 2x(a - 3b)(2b - y)
B. 2x(3b - a)(2b - y)
C. 2x(a - 3b)(y - 2b)
D. 2x(2b - a)(3b - y)

Question 69:

• JAMB 2004

Factorize completely ac - 2bc - a + 4b²

A. (a - 2b)(c - a - 2b)
B. (a - 2b)(c + a +2b)
C. (a - 2b)(c - a + 2b)
D. (a - 2b)(c + a - 2b)

Question 70:

• JAMB 2005

A polynomial in x whose zeros are -2, -1 and 3 is

A. X³ - 7x + 6
B. X³ + 7x - 6
C. X³ + 7x + 6
D. X³ - 7x - 6