Factorization of polynomials - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1984

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

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

Question 22:

• JAMB 1984

The larger value of y for which (y - 1)² = 4y - 7 is

A. 2
B. 4
C. 6
D. 7
E. 8

Question 23:

• JAMB 1986

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.

A. (12, 6)
B. (23, 17)
C. (17, 11)
D. (18, 12)

Question 24:

• JAMB 1986

In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?

A. 1981
B. 1979
C. 1982
D. 1978

Question 25:

• JAMB 1986

Factorize completely 8a + 125ax3

A. (2a + 5x²)(4 + 26ax)
B. A(2 + 5x)(4 - 10x + 25x²)
C. (2a + 5x)(4 - 10ax + 25x²)
D. A(2 + 5x)(4 + 10ax + 25x²)